Question

3√12*7√15 Multiply and write the answer in the simplest form.

Answer 1

$3 \sqrt{12} \times 7 \sqrt{15} = 3 \times 7 \times \sqrt{12 \times 15} \\ = 21 \times \sqrt{180} = 21 \times 6 \sqrt{5} = 126 \sqrt{5}$

Answer 2

Solution :

3√12 × 7√15

= 3 × 7 × √( 12 × 15 )

= 21 √(2×2×3)×(3×5)

= 21 × √(2×2)(3×3)×5

= 21 × 2 × 3 ×√5

= 126√5

Therefore ,

Simplest form of 3√12 × 7√15

= 126√5

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