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Popular >

simplify sqrt(x^2+2xy+y^2)

Solution

simplify

x^{2} + 2 x y + y^{2}

Solution

x + y

Solution steps

x^{2} + 2 x y + y^{2}

Factor

x^{2} + 2 x y + y^{2} : (x + y)^{2}

= (x + y)^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

(x + y)^{2} = x + y

= x + y

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Frequently Asked Questions (FAQ)

What is sqrt(x^2+2xy+y^2) ?
The solution to sqrt(x^2+2xy+y^2) is x+y