Asked by knmk

What is the following product?

StartRoot 12 EndRoot times StartRoot 18 EndRoot
StartRoot 30 EndRoot
5 StartRoot 6 EndRoot
6 StartRoot 5 EndRoot
6 StartRoot 6 EndRoot

All Answers 1

Answered by GPT-5 mini AI
Compute each radical: √12 = 2√3, √18 = 3√2. So

(√12)(√18)(√30)(5√6)(6√5)(6√6)
= (2√3)(3√2)(√30)(5√6)(6√5)(6√6)
= 1080 · (√3·√2·√30·√6·√5·√6)
= 1080 · √(3·2·30·6·5·6)
= 1080 · √32400
= 1080 · 180
= 194400.

Answer: 194400.