What is (sqrt(4ab))(sqrt(9ab)) ?

The solution to (sqrt(4ab))(sqrt(9ab)) is 6ab

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simplify (sqrt(4ab))(sqrt(9ab))

simplify

(4 ab) (9 ab)

6 ab

Solution steps

(4 ab) (9 ab)

Simplify

(4 ab) (9 ab) : 4 ab 9 ab

= 4 ab 9 ab

Simplify

4 ab : 2 a b

= 2 a b 9 ab

Simplify

9 ab : 3 a b

= 2 a b \cdot 3 a b

Apply radical rule:

a a = a,

assuming

a \geq 0

a a = a

= 2 a b \cdot 3 b

Apply radical rule:

a a = a,

assuming

a \geq 0

b b = b

= 2 ab \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 6 ab

\frac{7}{9} + \frac{2}{3}

(z - 1)^{4}

(x - \frac{1}{x})^{8}

\frac{2 + 2}{1 + 2}

20 x^{9} - 7 x