Question

Simplify: -24√20 × 10√6
kindly give step by step explanation for this question​

Answer 1

$- 24 \sqrt{20} \times 10 \sqrt{6} \\ = ( - 24 \times 10)( \sqrt{20} \times \sqrt{6} ) \\ = - 240 \sqrt{20 \times 6} \\ = - 240 \sqrt{4 \times 5 \times 6 } \\ = - 240 \sqrt{4} \times \sqrt{5 \times 6} \\ = - 240 \times 2 \times \sqrt{30} \\ = - 480 \sqrt{30}$

Answer 2

Step-by-step explanation:

-24√20×10√6

= (-24×10)(√20×√6)

= -240√120

= -240√2×2×2×3×5(by prime factor)

= -240×2√2×3×5

= -480√30.