Simplify \(\sqrt{3} \times \sqrt{27}\).

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

Answered by here2help | 2024-06-10

√3√27
=√(3*27)
=√81
=9
As 9*9=81.

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

Answered by Anonymous | 2024-06-10

The expression 3 ​ × 27 ​ simplifies to 9 through the property of square roots that allows us to combine them. First, we find that 3 × 27 = 81 , and since 81 ​ = 9 , the final result is 9 .
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Answered by here2help | 2024-12-27