What is 10sqrt(12x^3)*2sqrt(6x^3) ?

The solution to 10sqrt(12x^3)*2sqrt(6x^3) is 120sqrt(2)x^3

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simplify 10sqrt(12x^3)*2sqrt(6x^3)

simplify

10 12 x^{3} \cdot 2 6 x^{3}

1202 x^{3}

Solution steps

10 12 x^{3} \cdot 2 6 x^{3}

Simplify

12 x^{3} : 23 x x

= 10 \cdot 23 x x \cdot 2 6 x^{3}

Simplify

6 x^{3} : 6 x x

= 10 \cdot 23 x x \cdot 26 x x

Apply radical rule:

a a = a,

assuming

a \geq 0

x x = x

= 10 \cdot 23 xx \cdot 26 x

6 = 32

= 10 \cdot 23 xx \cdot 232 x

Apply radical rule:

a a = a, a \geq 0

33 = 3

= 10 \cdot 2 \cdot 3 xx \cdot 22 x

Multiply the numbers:

10 \cdot 2 \cdot 3 \cdot 2 = 120

= 120 xx 2 x

Apply exponent rule:

aaa = a^{3}

xxx = x^{3}

= 120 x^{3} 2

= 1202 x^{3}

\frac{x ^{2} + x y ^{2}}{2 y ^{2} + 1} + 3

\frac{2 ( \frac{4 x + 5}{2} ) - 5}{4}

5 x - 80 x^{3}

144 x^{2} y^{5}

(1 - 3 x)^{3}

What is 10sqrt(12x^3)*2sqrt(6x^3) ?
The solution to 10sqrt(12x^3)*2sqrt(6x^3) is 120sqrt(2)x^3