Question

√(15*6*7*2) = 6√35.....can someone please explain me how this happens? I am not getting it.

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Answer 1

Step-by-step explanation:

$\sqrt{(15 \times 6 \times 7 \times 2)}$

$= \sqrt{(3 \times 5) \times (3 \times 2) \times 7 \times 2}$

$= \sqrt{3 \times 5 \times 3 \times 2 \times 7 \times 2}$

$= 3 \times 2 \sqrt{5 \times 7}$

$= 6 \sqrt{35}$

Answer 2

Answer:

15=3×5

6=3×2

7=7×1

2=2×1

√(3×5×3×2×7×1×2×1)

=3×2×1√(5×7)

=6√35