How do you simplify $sqrt(35x) sqrt(10x)$ ?

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Answer 1 · 2016-08-08T12:22:12

$5xsqrt14$

When you are multiplying or dividing square roots, they can be combined into one square root.

$(35x) xx sqrt(10x) = sqrt(350x^2)$

Write 350 as the product of its prime factors:

$sqrt(350x^2) = sqrt(2xx7xx5xx5x^2) = sqrt(14xx5^2x^2)$

= $5xsqrt14$

How do you simplify sqrt(35x) sqrt(10x)sqrt(35x) sqrt(10x)?