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Popular >

simplify sqrt(3y)sqrt(27y^3)

Solution

simplify

3 y 27 y^{3}

Solution

9 y^{2}

Solution steps

3 y 27 y^{3}

Simplify

3 y : 3 y

= 3 y 27 y^{3}

Simplify

27 y^{3} : 33 y y

= 3 y \cdot 33 y y

Apply radical rule:

a a = a, a \geq 0

33 = 3

= 3 y \cdot 3 y y

Apply radical rule:

a a = a,

assuming

a \geq 0

y y = y

= 3 y \cdot 3 y

Multiply the numbers:

3 \cdot 3 = 9

= 9 yy

Apply exponent rule:

aa = a^{2}

yy = y^{2}

= 9 y^{2}

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Frequently Asked Questions (FAQ)

What is sqrt(3y)sqrt(27y^3) ?
The solution to sqrt(3y)sqrt(27y^3) is 9y^2