What is (sqrt(y)+sqrt(z))^2 ?

The solution to (sqrt(y)+sqrt(z))^2 is y+2sqrt(y)sqrt(z)+z

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simplify (sqrt(y)+sqrt(z))^2

simplify

(y + z)^{2}

y + 2 y z + z

Solution steps

(y + z)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

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

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

(y)^{2} = y

(z)^{2} = z

= y + 2 y z + z

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