How do you multiply sqrt(-9)sqrt(-63)?

2 Answers
sankarankalyanam
Jun 25, 2018

=> sqrt 567

Explanation:

sqrt -9 * sqrt -63

=> sqrt (-9 * -63 ) = sqrt 567

Jim G.
Jun 25, 2018

-9sqrt7

Explanation:

"simplify each radical"

"noting that "sqrt(-1)=i

sqrt(-9)=sqrt9xxsqrt(-1)=3i

sqrt(-63)=sqrt9xxsqrt7xxsqrt(-1)=3sqrt7i

[i^2=(sqrt(-1))^2=-1]

3ixx3sqrt7i=9sqrt7xxi^2=-9sqrt7

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