Question

Use the product rule to simplify the radical— square root 315

Answer 1

• Product rule with radicals: √ab = √a × √b

Using the product rule, simplify the radical as such:

√315 = √7 × √45 = √7 × √9 × √5 = 3 × √7 × √5 = 3√35

The simplified radical of √315 is 3√35.