What is (3sqrt(3x))(5sqrt(2x)) ?

The solution to (3sqrt(3x))(5sqrt(2x)) is 15sqrt(6)x

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simplify (3sqrt(3x))(5sqrt(2x))

simplify

(3 3 x) (5 2 x)

156 x

Solution steps

(3 3 x) (5 2 x)

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

3 x = 3 x

= 3 \cdot 53 x 2 x

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

2 x = 2 x

= 3 \cdot 532 x x

Apply radical rule:

a a = a

x x = x

= 3 \cdot 532 x

Multiply the numbers:

3 \cdot 5 = 15

= 1532 x

Apply radical rule:

a b = a \cdot b

32 = 3 \cdot 2

= 15 3 \cdot 2 x

Multiply the numbers:

3 \cdot 2 = 6

= 156 x

e^{- l n ∣ 100 - t ∣}

(6.8 \cdot 1 0^{- 2}) \cdot (8.85 \cdot 1 0^{- 12}) \cdot 42

3 + 5 3 - 5

x^{2} (e^{- x})

e^{t^{2}} \cdot e^{- t}

What is (3sqrt(3x))(5sqrt(2x)) ?
The solution to (3sqrt(3x))(5sqrt(2x)) is 15sqrt(6)x