CONFUSING Square roots

Level 1

what is (square root 2)square

1 4 2 3

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2 solutions

Srijan Singh
Jun 3, 2021

The question isn't framed nicely, you should use LaTeX.

By the laws of exponents, we have

( 2 ) 2 = ( 2 1 2 ) 2 = 2 2 2 = 2 1 = 2 \left(\sqrt{2}\right)^2=\left(2^{\frac{1}{2}}\right)^2=2^{\frac{2}{2}}=2^1=\boxed{2}

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