Question

Simplify Root 35 multiply root 45

Answer 1

Answer:

15√21

Step-by-step explanation:

√35 × √45

√5×7×5×9

5×3√21

15√21

Answer 2

$\sqrt{35} \times \sqrt{45} \\ ( \: \sqrt{a} \times \sqrt{b} = \sqrt{ab} \: ) \\ = \sqrt{35 \times 45} \\ = \sqrt{1575} \\ by \: prime \: factorization \\ = \sqrt{3 \times 5 \times 3 \times 5 \times 7} \\ = 3 \times 5 \sqrt{7} \\ =15 \sqrt{7}$