What does "rationalizing" the denominator mean?

Answers

Answer 1

Answer:

It simply means getting rid of the square root or radical in the denominator

Step-by-step explanation:

Rationalizing the denominator simply means getting rid of the square root or radical symbol in the denominator thereby making the denominator to be just a whole number.

For example if we want to rationalize the denominator in; 3/√2

We will multiply the numerator and the denominator by √2 to get rid of the radical in the denominator which is the square root sign.

Thus;

(3/√2) × (√2)/(√2)

This gives;

(3√2)2

Answer 2

Answer:

"To rationalize the denominator means to eliminate any radical expressions in the denominator such as square roots and cube roots." It is done usually by multiplying both numerator and denominator by the radical expression or another expression including the radical to be eliminated.

Step-by-step explanation:


Related Questions

John belongs to a boating club that rents sailboats for $60 for the first hour and $20 for each additional hour. After renting a boat one day, he owed the boating club a fee of $140.

Write and solve an equation to find how many hours he kept the boat.

Answers

Answer:

4 Hours

Step-by-step explanation:

The original boating fee is $60 then you add $20 per hour so 20 x 4 = 80

80+60=140 $140

Answer: 140=60+20x. He kept the boat for 4 hours

Step-by-step explanation:

x=hours

y=final cost and the final cost is $140

to find x you would use the equation: 140=60+20x

you would first subtract 60 from both sides and you would get:

80=20x

Now you would divide 20 from both sides

So x is 4

Someone help and plz make sure it’s right

Answers

Step-by-step explanation:

13² = 5² + x²

x² = 13² - 5²

x² = 144

x = √144

x = 12

answer = 12 km

Plz help me with this question plz

Answers

Answer:

Quarters: 2 = 50 cents. 50cents

Dimes: 2 = 20 cents. 70cents

Nickels: 8 = 40 cents. $1.10

Hope this Helps!

:)

Find p and q .......

Answers

Answer:

Q = 9

P = 5

Step-by-step explanation:

a class has 10 students how many choices for a president and a vice president are possible?

Answers

Answer:

for president there are 10, and in vice president there are 9

Decrease £120 by 12.5%

Answers

Answer:

£ 105.

Step-by-step explanation:

Since it is required to decrease £ 120 by 12.5%, to perform this subtraction the following mathematical operation must be performed:

100 - 12.5 = 87.5

100 = 120

87.5 = X

87.5 x 120/100 = X

10,500 / 100 = X

105 = X

Thus, decreasing £ 120 by 12.5% you get a total of £ 105.

Find the value of x.

Answers

Answer:

X = 9

okay If I'm wrong sry what's 9x3 it's 45 right ( me not using a caluctalter ) ( I didn't even spell that Right lol ) but anyways it's X=9

If 50-3x=x-26, then x=

Answers

Answer:

x=19

Step-by-step explanation:

50 - 3x = x -26

50-3x-50=x-26-50

-3x=x-76

-3x-x=x-76-x

-4x= -76

x= -76/-4

x=19

7th grade math help me pleaseeee

Answers

Answer:

-11

Step-by-step explanation:

6*3=18+2*3=24

7*5=35

24-35=-11

can you help me with this, please? ​

Answers

9514 1404 393

Answer:

  b, c, d -- (all but the first)

Step-by-step explanation:

The key take-away regarding what relation is or is not a function is the following: a function has no repeated x-values.

The x-values in the table are -3, -1, 0, 2, so any suggested ordered pair with one of those as an x-value cannot be added to the table. The only such pair in the list is the first one (-3, 4). It cannot be added. All of the remaining three pairs can be added and the relation will remain a function.

0
ZA=
Round your answer to the nearest hundredth.
B
3
4
6
с

Answers

Answer:

B?346C is the answer get noob
B 346c step by step

Which describes the slope of the line that passes through the points (2, 5) and (-4,5)?

Answers

Answer:

0

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-5)/(-4-2)

m=0/-6

m=0

Help........Betty wants to bake the perfect cookie. She wants to determine the ideal temperature at which to bake the cookies. She has enough batter to make 60 cookies. She decides to randomly assign 15 cookies to be baked at 300°, 15 at 325°, 15 at 350°, and 15 at 375°. The baking time for each batch is 12 minutes. Which statement about the randomization for the completely randomized design is correct? Betty should place the first 15 balls of cookie dough that she scoops from the batter on a tray, and those will be baked at 300°. The next 15 will be placed onto a second tray to be baked at 325°. She should continue in this manner until all 60 cookies have been placed on trays. Betty should scoop a ball of cookie dough from the batter, and then roll a die. Numbers 1–4 would indicate at which temperature the cookies will be baked, and 5–6 would indicate that she should roll again. She should repeat this process until all 60 cookies have been allocated. Betty should prepare all 60 cookies. Each cookie will receive a number. The numbers will be written on slips of paper, put into a hat, and shuffled well. The first 15 numbers drawn will indicate the cookies to be baked at 300°, the next 15 will indicate the cookies to be baked at 325°, and so on until all 60 cookies are allocated. Betty should place the first cookie on a tray to be baked at 300°. The second cookie will go on a tray to be baked at 325°, the third will go on a tray to be baked at 350°, and the fourth will go on a tray to be baked at 375°. She will continue placing the cookies in this pattern until all 60 cookies are on trays to be baked.​

Answers

Answer: Betty should prepare all 60 cookies. Each cookie will receive a number. The numbers will be written on slips of paper, put into a hat, and shuffled well. The first 15 numbers drawn will indicate the cookies to be baked at 300°, the next 15 will indicate the cookies to be baked at 325°, and so on until all 60 cookies are allocated.

Step-by-step explanation: I just got it correct on Edge :)

The true option about the randomized design is (c) Betty should prepare all 60 cookies. Each cookie will receive a number. The numbers will be written on slips of paper, put into a hat, and shuffled well. The first 15 numbers drawn will indicate the cookies to be baked at 300°, the next 15 will indicate the cookies to be baked at 325°, and so on until all 60 cookies are allocated.

The given parameters are:

[tex]\mathbf{n = 60}[/tex]

[tex]\mathbf{Batches = 4}[/tex]

[tex]\mathbf{Cookies= 15}[/tex] ---- the number of cookies in each batch

[tex]\mathbf{Temperature= 300,325,350,375}[/tex]

To randomly assign the cookies to the given temperatures, all cookies have to be subjected to the same conditions (except the difference in the temperature).

This means that, she can bake all the cookies at once at different temperatures, while noting down the cookies with a given number.

Hence, the true option is (c)

Read more about randomization at:

https://brainly.com/question/20046524

Please help I’ll give brainlieast

Answers

Can you add the information so we can solve the problem ? you only added the questions. Add the stuff above that.


Decrease £101 by 43%

Answers



101 - Percentage decrease =

101 - (43% × 101) =

101 - 43% × 101 =

(1 - 43%) × 101 =

(100% - 43%) × 101 =

57% × 101 =

57 ÷ 100 × 101 =

57 × 101 ÷ 100 =

5,757 ÷ 100 =

57.57

Answer:

Step-by-step explanation:

100-43=57%

57/100 x 101

0.57 x 101

£57.57

or

43/100 x 101

0.43 x 101

43.43

100-43.43

=£57.57

Instructions: Find the missing length indicated.

Answers

Answer:

the answer is the 90 degree

The system shown is
• Inconsistent
• equivalent
© consistent

Answers

the system shown is inconsistent!

Answer:

Consistent

Step-by-step explanation:

HELP PLEASE DUE IN 3 MINUTES

Answers

Answer:

The answer is 5 TRUST ME

Step-by-step explanation:

Answer:

5 is the median

Step-by-step explanation:

Median

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

3y - 21 = 12x
Help please

Answers

Simply
3Y+-21=12X

Re-order the terms
-21+3Y=12X

(Solving for Y variable)

Move all terms containing y to the left, all other terms to the right.

Add 21 to each side of the equation
-21+21+3Y=21+12X

Combine like terms: -21+21=0
0+3Y=21+12X
3Y=21+12X

Divide each side by 3
Y=7+4X

Simplifying
Y=7+4x
I hope this helps!! :)

A triangle has an area of 3x^2+9x-54 square centimeters. If the height of the triangle is x+6 centimeters, find the length of the base

Answers

it should be b = 6(x - 3)

and hb this any answer please

Answers

Answer:

Using the Pythagorean Theorem we can see that:

[tex]9^2+40^2=1681\\\sqrt{1681}=41[/tex]

Thus, x is 41.

Solve for n: 3xn-9=6y

Answers

Answer:

y= 13/6 xn - 3/2,x€ R, n€ R

write and equation to solve for x.
what is the value of x?

Answers

Well since both angles equal a right triangle (90 degrees) you would set up the equation 90=2x+3x+5

90=2x+3x+5
85=5x
17=x

and to find the angles, just plug in x which is 17

Box 1 measures 6 cmon width, 12 cm in length and 4 cm in height. The height is doubled to 8cm to produce a larger box, Box 2 Which phrase accurately describes the volume of Box 2 in relation to Box 1

Answers

Answer: put A

Step-by-step explanation:

Put A cause 1 can’t be measure so you have to add 4 .


Deb bought 51 boxes of pens. There were 54 pens in each box. How many pens did Deb
buy?

Answers

Deb would have 2754 pens

Deb bought a total of 2,754

please help i dont understand

Answers

Answer:

imma say 45m

Step-by-step explanation:

im not sure but tell me if im wrong so i can fix it. thanks

help agin please number 8

Answers

Answer:

G

Step-by-step explanation:

5 + 7 > 9

12 > 9

5 + 9 > 7

14 > 7

7 + 9 > 5

16 > 5

Answer:

G as

5+7 more than 9

5+9 more than 7

7+9 more than 5

1/8 of 4 yards= ? feet not in decimal form​

Answers

9514 1404 393

Answer:

  3/2 feet

Step-by-step explanation:

4 yards = (4 yd)(3 ft/yd) = 12 ft

1/8 of that is ...

  (1/8)(12 ft) = (12/8) ft = 3/2 ft = 1 1/2 ft

What is the degree of the term 2x in the polynomial 4x2 + 2x+1?

Answers

Answer:

1

Step-by-step explanation:

degree of the term 2x is 1

Power of the variable x is the degree of the term

Can someone tell me the answer, please?

Answers

I believe it is rose bouquets good luck!!

Answer:

Rose bouquets

Step-by-step explanation:

Please mark me branliest?!?!

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