What is 6sqrt(15y^4)*2sqrt(20y^2) ?

The solution to 6sqrt(15y^4)*2sqrt(20y^2) is 120sqrt(3)y^3

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simplify 6sqrt(15y^4)*2sqrt(20y^2)

simplify

6 15 y^{4} \cdot 2 20 y^{2}

1203 y^{3}

Solution steps

6 15 y^{4} \cdot 2 20 y^{2}

Simplify

15 y^{4} : 15 y^{2}

= 615 y^{2} \cdot 2 20 y^{2}

Simplify

20 y^{2} : 25 y

= 615 y^{2} \cdot 2 \cdot 25 y

15 = 53

= 653 y^{2} \cdot 2 \cdot 25 y

Apply radical rule:

a a = a, a \geq 0

55 = 5

= 6 \cdot 53 y^{2} \cdot 2 \cdot 2 y

Multiply the numbers:

6 \cdot 5 \cdot 2 \cdot 2 = 120

= 1203 y^{2} y

Simplify

y^{2} y : y^{3}

= 1203 y^{3}

5 x^{2} + 33 x + 18

\frac{15}{13}

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

- 3 x - 2 x

3 x^{2} - 6 x - 45

What is 6sqrt(15y^4)*2sqrt(20y^2) ?
The solution to 6sqrt(15y^4)*2sqrt(20y^2) is 120sqrt(3)y^3