How do you simplify the expression sqrt(2/3)+sqrt6?

1 Answer
Oct 11, 2017

4sqrt(2/3)

Explanation:

I can rewrite the second term in the expression like so:

sqrt(2/3)+sqrt(18/3)

Then factor out a 2/3:

sqrt(2/3)+sqrt(9*2/3)

Use properties of square roots:

sqrt(2/3)+sqrt(9)*sqrt(2/3)

Take the square root of 9:

1sqrt(2/3)+3sqrt(2/3)

Add like radicals:

4sqrt(2/3)