What is sqrt(3)(sqrt(72)-3sqrt(2)) ?

The solution to sqrt(3)(sqrt(72)-3sqrt(2)) is 3sqrt(6)

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simplify sqrt(3)(sqrt(72)-3sqrt(2))

simplify

3 (72 - 32)

36

Solution steps

3 (72 - 32)

72 - 32 = 32

= 3 \cdot 32

Apply radical rule:

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

32 = 3 \cdot 2

= 3 \cdot 2 \cdot 3

Multiply the numbers:

3 \cdot 2 = 6

= 6 \cdot 3

= 36

3 x + 2 < - 13

\frac{12 a ^{- 3} b ^{10}}{- 3 a ^{- 7} b ^{- 2}}

\frac{8 v}{28 w + 21} - \frac{3 v + 10}{4 w + 3}

5 + 2 x + x^{2} = 0

\frac{3 m}{6 m}

What is sqrt(3)(sqrt(72)-3sqrt(2)) ?
The solution to sqrt(3)(sqrt(72)-3sqrt(2)) is 3sqrt(6)