Question

Simplify √72/54?? PLEASE HELP I'LL AWARD AND FAN!!!

Answer 1

Is it like this?\(\Large\sqrt{\frac{72}{54}}\)

Answer 2

Or like this? \(\Large\frac{\sqrt{72}}{54}\)

Answer 3

It's the 1st one :)

Answer 4

Okay, so that simplifies to \(\Large\frac{\sqrt{72}}{\sqrt{54}}\)

To simplify the radicals, you need to factor the numbers underneath.

Answer 5

okay

Answer 6

so divide by 2?

Answer 7

Yes.

Answer 8

What is 72 divided by 2?

Answer 9

23

Answer 10

no.

Answer 11

i meant 36 oops sorry

Answer 12

and 54 divided by 2 is 27

Answer 13

yes, Okay, so you get \(\Large\frac{\sqrt{36\times2}}{\sqrt{27\times2}}\rightarrow\frac{\sqrt{36}\sqrt{2}}{\sqrt{27}\sqrt{2}}\rightarrow?\)
What does \(\sqrt{36}\) equal?

And you need to factor the 27 now

Answer 14

27 is factored to 9, which can be factored to 3

Answer 15

is that it?

Answer 16

Sort of. You get \(\Large \frac{\sqrt{36}\sqrt{2}}{\sqrt{9}\sqrt{3}\sqrt{2}}\)
You need to simplify it now.

Answer 17

square root 8 over 7??

Answer 18

sorry this is all very confusing for me

Answer 19

Okay, let's take it one step at a time. What is \(\Large \sqrt{36}\) equal to?

Answer 20

square root 3?

Answer 21

No. The square root of 36 is 6, remember?
What is the square root of 9?

Answer 22

ooh, the square root of 9 is 3

Answer 23

so whats the next step?

Answer 24

right. So that simplifies to \(\Large\frac{6\sqrt{2}}{3\sqrt{3}\sqrt{2}}\)
Now, you need to combine the \(\large\sqrt{3}\) and \(\large\sqrt{2}\), and simplify the 6/3

Answer 25

would that be radical 5 and then 2/3

Answer 26

is that okay??

Answer 27

Uh, no. It would be \(\Large \sqrt{3}\sqrt{2}=\sqrt{3\times 2}=\sqrt{6}\)
And 6 divided by 3 is not 2/3

Answer 28

oh, 2 then

Answer 29

so what would the answer be?

Answer 30

are you still there?

Answer 31

Yes, so the final answer is \(\Large\frac{2\sqrt{2}}{\sqrt{6}}\)

Unless your teacher doesn't want a radical in the denominator, in which case, we have more work to do