What is 4sqrt(72a^4b^3) ?

The solution to 4sqrt(72a^4b^3) is 24sqrt(2)a^2bsqrt(b)

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simplify 4sqrt(72a^4b^3)

simplify

4 72 a^{4} b^{3}

242 a^{2} b b

Solution steps

4 72 a^{4} b^{3}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

72 a^{4} b^{3} = 72 a^{4} b^{3}

= 472 a^{4} b^{3}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

a^{4} b^{3} = a^{4} b^{3}

= 472 a^{4} b^{3}

72 = 62

= 4 \cdot 62 a^{4} b^{3}

Simplify

a^{4} : a^{2}

= 4 \cdot 62 a^{2} b^{3}

Simplify

b^{3} : b b

= 4 \cdot 62 a^{2} b b

Multiply the numbers:

4 \cdot 6 = 24

= 242 a^{2} b b

6 x^{2} + 9

\frac{1}{2 x ^{2} - 5 x + 2}

2 + \frac{4}{9}

56 \cdot 14

(z^{2} + 4 x)^{4}

What is 4sqrt(72a^4b^3) ?
The solution to 4sqrt(72a^4b^3) is 24sqrt(2)a^2bsqrt(b)