How do you simplify sqrt10sqrt30?

1 Answer
Feb 4, 2017

10sqrt3

Explanation:

Use the root property: sqrtasqrtb = sqrt(ab) and vice versa.

sqrt10sqrt30 = sqrt300 = sqrt100sqrt3 = 10sqrt3

You'll want to find the greatest "perfect" square factor of the number inside the root, so you can use the above property in reverse to split up the roots, then simplify. A perfect square is a square of an integer (its square root is an integer).