Question

Simplify.
The square root of 27/12.

Answer 1

okkk so simplify \[ \sqrt{ \frac{27}{12}}\]

Answer 2

SHamil gtfo out of here

Answer 3

:P

Answer 4

O_O? lol

Answer 5

\[\sqrt{\frac{ 27 }{ 12 }} = \sqrt{\frac{ 9*3 }{ 4*3 }} = ?\]
simplify it. there are two numbers that you can take out of the square root symbol and two that will stay inside the symbol.

Answer 6

Oh, okay.

Answer 7

\(\bf {\color{blue}{ 27\implies 3\cdot 3\cdot 3\implies 3^2\cdot 3\qquad 12\implies 2\cdot 2\cdot 3\implies 2^2\cdot 3}}\\ \quad \\ \quad \\

\sqrt{\cfrac{27}{12}}\implies \cfrac{\sqrt{27}}{\sqrt{12}}\implies \cfrac{\sqrt{3^2\cdot 3}}{\sqrt{2^2\cdot 3}}\)

Answer 8

So, the 9 and the 4 stay in, right?

Answer 9

\(\bf 9 = 3^2 \quad 4 = 2^2\)

Answer 10

Oh! Thank you! :)

Answer 11

Simplifying it out what would your final answer be?

Answer 12

Sorry, the images wouldn't come up. It would be 3 over 2 right?

Answer 13

ok first break apart the square root.
square root of 27=3root3
square root of 12=2root3