What is sqrt(3a^2b^2)*sqrt(9a^4b^6)*sqrt(12a^2) ?

The solution to sqrt(3a^2b^2)*sqrt(9a^4b^6)*sqrt(12a^2) is 18a^4b^4

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simplify sqrt(3a^2b^2)sqrt(9a^4b^6)sqrt(12a^2)

simplify

3 a^{2} b^{2} \cdot 9 a^{4} b^{6} \cdot 12 a^{2}

18 a^{4} b^{4}

Solution steps

3 a^{2} b^{2} 9 a^{4} b^{6} 12 a^{2}

Simplify

3 a^{2} b^{2} : 3 ab

= 3 ab 9 a^{4} b^{6} 12 a^{2}

Simplify

9 a^{4} b^{6} : 3 a^{2} b^{3}

= 3 ab \cdot 3 a^{2} b^{3} 12 a^{2}

Simplify

12 a^{2} : 23 a

= 3 ab \cdot 3 a^{2} b^{3} \cdot 23 a

Apply radical rule:

a a = a, a \geq 0

33 = 3

= 3 ab \cdot 3 a^{2} b^{3} \cdot 2 a

Multiply the numbers:

3 \cdot 3 \cdot 2 = 18

= 18 ab a^{2} b^{3} a

Simplify

a a^{2} a : a^{4}

= 18 a^{4} b b^{3}

Simplify

b b^{3} : b^{4}

= 18 a^{4} b^{4}

8 c^{2} - 88 c + 242

lo g_{2} (0)

6 x^{2} - 17 x - 3

7 x = 30 - x^{2}

\frac{16}{3} - 4

What is sqrt(3a^2b^2)*sqrt(9a^4b^6)*sqrt(12a^2) ?
The solution to sqrt(3a^2b^2)*sqrt(9a^4b^6)*sqrt(12a^2) is 18a^4b^4