# Multiply and write the answer in the simplest form.i. 3√12 × √18ii. 3√12 × 7√15iii. 3√8 × √5iv. 5√8 × 2√8

i. 3√12 × √18

3√12 × √18 = 3√(2 × 2 × 3) × √(2 × 3 × 3)

3√12 × √18 = 3 × 2√3 × 3√2

3√12 × √18 = 6√3 × 3√2

3√12 × √18 = 18√6

ii. 3√12 × 7√15

3√12 × 7√15 = 3√(2 × 2 × 3) × 7√(3 × 5)

3√12 × 7√15 = 3 × 2√3 × 7√(3 × 5)

3√12 × 7√15 = 3 × 2 × 7 × √(3 × 3 × 5)

3√12 × 7√15 = 3 × 2 × 7 × 3√5

3√12 × 7√15 = 126√5

iii. 3√8 × √5

3√8 × √5 = 3√(2 × 2 × 2) × √5

3√8 × √5 = 3 × 2√2 × √5

3√8 × √5 = 3 × 2 ×√(2 × 5)

3√8 × √5 = 6√10

iv. 5√8 × 2√8

5√8 × 2√8 = 5√(2 × 2 × 2) × 2√(2 × 2 × 2)

5√8 × 2√8 = 5 × 2√2 × 2 × 2√2

5√8 × 2√8 = 5 × 2 × 2 × 2 ×√(2 × 2)

5√8 × 2√8 = 5 × 2 × 2 × 2 × 2

5√8 × 2√8 = 80

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