What is sqrt(7\times 12)\times sqrt(21) ?

The solution to sqrt(7\times 12)\times sqrt(21) is 42

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simplify sqrt(7\times 12)\times sqrt(21)

simplify

7 \cdot 12 \cdot 21

42

Solution steps

7 \cdot 12 21

Apply radical rule:

a b = ab, a \geq 0, b \geq 0

7 \cdot 12 21 = 7 \cdot 12 \cdot 21

= 7 \cdot 12 \cdot 21

Multiply the numbers:

7 \cdot 12 \cdot 21 = 1764

= 1764

1764 = 42

= 42

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What is sqrt(7\times 12)\times sqrt(21) ?
The solution to sqrt(7\times 12)\times sqrt(21) is 42