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Popular >

simplify 4sqrt(25x^2y^5)

Solution

simplify

4 25 x^{2} y^{5}

Solution

20 x y^{2} y

Solution steps

4 25 x^{2} y^{5}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

25 x^{2} y^{5} = 25 x^{2} y^{5}

= 425 x^{2} y^{5}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

x^{2} y^{5} = x^{2} y^{5}

= 425 x^{2} y^{5}

25 = 5

= 4 \cdot 5 x^{2} y^{5}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

= 4 \cdot 5 x y^{5}

Simplify

y^{5} : y^{2} y

= 4 \cdot 5 x y^{2} y

Multiply the numbers:

4 \cdot 5 = 20

= 20 x y^{2} y

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Frequently Asked Questions (FAQ)

What is 4sqrt(25x^2y^5) ?
The solution to 4sqrt(25x^2y^5) is 20xy^2sqrt(y)