What is (sqrt(6a^2b))*(sqrt(3ab^2)) ?

The solution to (sqrt(6a^2b))*(sqrt(3ab^2)) is 3sqrt(2)absqrt(b)sqrt(a)

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simplify (sqrt(6a^2b))*(sqrt(3ab^2))

simplify

(6 a^{2} b) \cdot (3 a b^{2})

32 ab b a

Solution steps

(6 a^{2} b) (3 a b^{2})

Simplify

(6 a^{2} b) (3 a b^{2}) : 6 a^{2} b 3 a b^{2}

= 6 a^{2} b 3 a b^{2}

Simplify

6 a^{2} b : 6 a b

= 6 a b 3 a b^{2}

Simplify

3 a b^{2} : 3 a b

= 6 a b 3 a b

6 = 32

= 32 a b 3 a b

Apply radical rule:

a a = a, a \geq 0

33 = 3

= 32 a b a b

= 32 ab b a

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

4 - 4 x < 20 and 3 - x > 0

3 q^{2} - 9 q

- 16 < - 3 x + 8 < - 7

e^{- \frac{3}{4}}

What is (sqrt(6a^2b))*(sqrt(3ab^2)) ?
The solution to (sqrt(6a^2b))*(sqrt(3ab^2)) is 3sqrt(2)absqrt(b)sqrt(a)