Question

What is the answer to the problem below?

Answer 1

189√5

Explanation:

You want the product of 7√3 and 9√15 in simplest form.

Radical rules

The applicable rules of radicals are ...

(√a)(√b) = √(ab)

√(a²b) = a√b

Application

`7√(3)*9√(15)=7\cdot9√(3\cdot15)=63√(3^2\cdot5)=63\cdot3√(5)\\\\=\boxed{189√(5)}`

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Additional comment

The approximate numerical value is 422.62.