Question

prove that (✓a×√a=a )

Answer 1

root a×root a
square of root a
root cancel
a

Answer 2

$\sqrt{3} \times \sqrt{3} \\ = ( \sqrt{3)} {}^{2} \\ = {( ({3)} }^{ \frac{1}{2} } ) {}^{2} \\ cancel \: 2 \: and \: 2 \\ = (3) {}^{1} \\ = 3 \\ hence \: proved$