Question

Rationalize denominator then simplify if able
4 divide square root of 48?

Answer 1

Multiply both the numerator and denominator by sqrt(48).

You get (4 sqrt(48))/48

Now you simplify that expression.

Answer 2

Yeah I got 4 square root of 48 divide square root of 2304

Answer 3

For the denominator, we have sqrt (48) multiplied by sqrt(48) which is equal to 48. You dont need to multiply the square roots, as thats a waste of time.

So we have (4 sqrt(48))/48. We want to simplify this expression.

We will first simplify sqrt(48).

sqrt (48) = sqrt (16) x sqrt(3)
= 4 sqrt(3)

so for the numerator, we have (4 times 4sqrt(3). And for the denominator we have 48

so whats the final answer in simplified form?

Answer 4

4 square root of 3 divide 16

Answer 5

How did you get that?

Answer 6

what you got for top then 48 on the bottom that becomes 16

Answer 7

For the numerator, 4(4 sqrt(3)) = 16 sqrt(3).
For the denominator, we have 48.

So what is [16 sqrt(3)]/48 =?

Answer 8

Last step, the 16 and 48 cancel, 16 into 16, goes once; 16 into 48 goes three times.

Answer 9

Whats the final answer?

Answer 10

4 square root of 3 over 48

Answer 11

no.

Answer 12

we have 16 sqrt(4) on the top; and 48 on the bottom. Agree?

Answer 13

yes

Answer 14

Excuse me, I meant 16 sqrt(3) on the top; and 48 on the bottom.

Answer 15

So 16 into 16 goes once; and 16 into 48 goes 3.

so you are left with sqrt(3) on the top; and a 3 in the bottom.

Isnt the final answer sqrt(3)/3?

Answer 16

ok yes now I see how you get it thanks

Answer 17

welcome.

Keep in mind that sqrt(x) multiplied by sqrt(x) = x

so sqrt(235) times sqrt(235) = 235

Answer 18

ok