Question

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

Answer 1

Explanation:

The catch here is to break up sqrt(6) into 2 parts that use primes to define sqrt(6)

sqrt(3)* sqrt(6)

sqrt(6) can be broken up into sqrt(2*3) which equals sqrt(2)*sqrt(3)

sqrt(3)*sqrt(2)(sqrt(3)

sqrt(3)*sqrt(3)*sqrt(2)

3*sqrt(2)