Perfect square roots!

Algebra Level 1

If x = 144 x=144 and y = 169 y=169 , find the value of ( x + y ) 2 \big(\sqrt{x}+\sqrt{y}\big)^2 .


The answer is 625.

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3 solutions

Skanda Prasad
Jun 7, 2016

We know that x = 144 x=144 and y = 169 y=169 . Hence, 144 = 12 \sqrt{144}=12 and 169 = 13 \sqrt{169}=13 .

According to the question, ( x + y ) 2 (\sqrt{x}+\sqrt{y})^2 is asked.

( 12 + 13 ) 2 = 2 5 2 = 625 \therefore (12 + 13)^2 = 25^2 = 625

Hence, the answer.

You did it nicely. Thanks!

Sandeep Bhardwaj - 5 years ago

i wonder who did even this wrong

A Former Brilliant Member - 4 years, 10 months ago
Sonia Gupta
Jun 7, 2016

Did the same with the question!!!

Hi Sonia

This is not a solution. Kindly delete this.

In future, please use the Reply Button, in case you need to reply to a solution.

Thanks.

Mehul Arora - 5 years ago
Galen Buhain
Jul 25, 2016

( 12 + 13 ) squared is equal to 625

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