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



This Question is Closed

ValentinaT
Best Response
You've already chosen the best response.
0
\[\frac{ 4√6 }{ \sqrt{30} }\]

ValentinaT
Best Response
You've already chosen the best response.
0
Thanks.

kausarsalley
Best Response
You've already chosen the best response.
1
\[\frac{ 4\sqrt6 }{ \sqrt{30} } \times \frac{ \sqrt{30} }{ \sqrt{30} }\]
\[\frac{ 4\sqrt6 (\sqrt{30}) }{ \sqrt{30}\times \sqrt{30} }\]
\[\frac{ 4\sqrt{180} }{ 30 }\]
\[\frac{ 24\sqrt5 }{ 30 }\]
\[\frac{ 4\sqrt5 }{ 5 }\]

ValentinaT
Best Response
You've already chosen the best response.
0
@kausarsalley could you help me one more time?

kausarsalley
Best Response
You've already chosen the best response.
1
okay...what is the question??

ValentinaT
Best Response
You've already chosen the best response.
0
\[(2\sqrt{5} + 3\sqrt{7})^2 \]

kausarsalley
Best Response
You've already chosen the best response.
1
okay....the simplest way to expand is to go by this...
\[(a+b)^2=a^2+2ab+b^2\]

ValentinaT
Best Response
You've already chosen the best response.
0
It also says to justify each step? Does that mean I have to explain each step?

kausarsalley
Best Response
You've already chosen the best response.
1
using that,
\[(2\sqrt5+3\sqrt7)^2=(2\sqrt5)^2+2(2\sqrt5)(3\sqrt7)+(3\sqrt7)^2\]

ValentinaT
Best Response
You've already chosen the best response.
0
Thanks.

kausarsalley
Best Response
You've already chosen the best response.
1
its not done with simplifying..

kausarsalley
Best Response
You've already chosen the best response.
1
or can you continue from there??

ValentinaT
Best Response
You've already chosen the best response.
0
Oh, I was just saying.

ValentinaT
Best Response
You've already chosen the best response.
0
I'm not sure what to do.

kausarsalley
Best Response
You've already chosen the best response.
1
\[(2^2(\sqrt5)^2)+4\sqrt5(3\sqrt7)+(3^2(\sqrt7)^2\]
\[20 + 12\sqrt{35}+63\]
\[83+12\sqrt{35}\]

kausarsalley
Best Response
You've already chosen the best response.
1
do you understand what i have done??

ValentinaT
Best Response
You've already chosen the best response.
0
I think I might, is that the final answer?

ValentinaT
Best Response
You've already chosen the best response.
0
Thanks.

kausarsalley
Best Response
You've already chosen the best response.
1
sorry for the late reply....
yw