Question

Write √3*√6 in the form b√2 where b is an integer

Answer 1

3√2

Explanation:

√3x6 = √18

√18 = √9x2 (√9 and √2)

√9 = 3

√2 = stays as root 2 as you cannot square root 2.

Therefore, answer is 3√2.

Hope this helps! :)

Answer 2

`3√(2)`

Explanation:

`√(3) * √(6)\\\\\mathrm{Factor\:integer\:}6=3*\:2\\=√(3)*√(3*\:2)\\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\\\\√(3*\:2)=√(3)*√(2)\\\\=√(3)*√(3)*√(2)\\\\\mathrm{Apply\:radical\:rule}:\\\quad √(a)*√(a)=a\\\\√(3)*√(3)=3\\\\=3√(2)`