Question

Simplify sqrt 3× sqrt 27

Answer 1

[√3] * [√27] = √3 * √[9*3] = √3 *3√3 = 3 * 3 = 9,
or [√3] * [√27] = √[3*27] = √[81] = 9.

Answer 2

√3√27

=√(3*27)

=√81

=9

As 9*9=81.

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RULES:

√a√b=√ab

As (√a√b)²=((√a)²(√b)²)=√a√a√b√b=ab

When:

(√a√b)²=ab

√a√b=√ab