How do you simplify $7xsqrt(5xy^2)-sqrt(20x^3y^4)$ ?

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Answer 1 · 2015-11-07T09:44:39

$7xysqrt(5x)-2xy^2sqrt(5x)$

$7xsqrt(5xy^2)-sqrt(20x^3y^4)$

Apply the square root rule $sqrt(a^2)=a$ to $7xsqrt(5xy^2)$ .

$7xysqrt(5x)-sqrt(20x^3y^4)$

Factor $sqrt(20x^3y^4)$ .

$7xysqrt(5x)-sqrt(2*2*5*x*x*x*y*y*y*y)$

Pair like terms.

$7xysqrt(5x)-sqrt(5x(2*2)(x*x)(y*y)(y*y))$

Simplify.

$7xysqrt(5x)-sqrt(5x*2^2*x^2*y^2*y^2)$

Apply the square root rule $sqrt(a^2)=a$ .

$7xysqrt(5x)-2*x*y*ysqrt(5x)$

Simplify.

$7xysqrt(5x)-2xy^2sqrt(5x)$

How do you simplify 7xsqrt(5xy^2)-sqrt(20x^3y^4)7xsqrt(5xy^2)-sqrt(20x^3y^4)?