What is (sqrt(x)+sqrt(y))(sqrt(x)+sqrt(y)) ?

The solution to (sqrt(x)+sqrt(y))(sqrt(x)+sqrt(y)) is x+2sqrt(x)sqrt(y)+y

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simplify (sqrt(x)+sqrt(y))(sqrt(x)+sqrt(y))

simplify

(x + y) (x + y)

x + 2 x y + y

Solution steps

(x + y) (x + y)

Apply exponent rule:

aa = a^{2}

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

= (x + y)^{2}

Apply Perfect Square Formula:

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

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

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

(x)^{2} = x

(y)^{2} = y

= x + 2 x y + y

x^{2} + 1 x^{2} - 1

(32) (32)

e^{3 t} \cdot e^{3 t}

6 \cdot 1 0^{- 9}

3.5 \times 1 0^{- 3}

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