Multiplication of Roots

Algebra Level 2

Is there a case where a b \sqrt{ab} is not equal to a × b \sqrt{a} \times \sqrt{b} ?

No Yes

Hexacraft Zhang by Hexacraft Zhang , 21, Hong Kong

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1 solution

Hexacraft Zhang
Nov 14, 2017

One case: 36 \sqrt{36} is not equal to ( − 4 ) × ( − 9 ) = 2 i × 3 i = 2 × 3 × ( − 1 ) = − 6 \sqrt{(-4)} \times \sqrt{(-9)} = 2i \times 3i = 2 \times 3 \times (-1) = -6

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