Question

Simplify 4√6/√30 by rationalizing the denominator. Please show steps!

Answer 1

\[\frac{ 4√6 }{ \sqrt{30} }\]

Answer 2

Thanks.

Answer 3

\[\frac{ 4\sqrt6 }{ \sqrt{30} } \times \frac{ \sqrt{30} }{ \sqrt{30} }\]
\[\frac{ 4\sqrt6 (\sqrt{30}) }{ \sqrt{30}\times \sqrt{30} }\]
\[\frac{ 4\sqrt{180} }{ 30 }\]
\[\frac{ 24\sqrt5 }{ 30 }\]
\[\frac{ 4\sqrt5 }{ 5 }\]

Answer 4

@kausarsalley could you help me one more time?

Answer 5

okay...what is the question??

Answer 6

\[(2\sqrt{5} + 3\sqrt{7})^2 \]

Answer 7

okay....the simplest way to expand is to go by this...
\[(a+b)^2=a^2+2ab+b^2\]

Answer 8

It also says to justify each step? Does that mean I have to explain each step?

Answer 9

using that,
\[(2\sqrt5+3\sqrt7)^2=(2\sqrt5)^2+2(2\sqrt5)(3\sqrt7)+(3\sqrt7)^2\]

Answer 10

Thanks.

Answer 11

its not done with simplifying..

Answer 12

or can you continue from there??

Answer 13

Oh, I was just saying.

Answer 14

I'm not sure what to do.

Answer 15

\[(2^2(\sqrt5)^2)+4\sqrt5(3\sqrt7)+(3^2(\sqrt7)^2\]
\[20 + 12\sqrt{35}+63\]
\[83+12\sqrt{35}\]

Answer 16

do you understand what i have done??

Answer 17

I think I might, is that the final answer?

Answer 18

Thanks.

Answer 19

sorry for the late reply....
yw