Multiplication & Division of Square Roots

Topic Content:

1. For Equations Involving Multiplication:

i. Split the square roots if both numbers are perfect squares e.g.

\(\scriptsize \sqrt{4 \: \times \: 16} \\ \scriptsize = \sqrt{4} \: \times \: \sqrt{16} \\ \scriptsize = 2 \: \times \: 4 \\ \scriptsize = 8 \)

ii.  Multiply directly, if one or both numbers are not perfect squares e.g.

\(\scriptsize \sqrt{2 \: \times \: 50}\\ \scriptsize = \sqrt{100}\\ \scriptsize = 10\)

This is because 2 and 50 are not perfect squares, but their product 100