What is (sqrt(5)+sqrt(3))^2 ?

The solution to (sqrt(5)+sqrt(3))^2 is 8+2sqrt(15)

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simplify (sqrt(5)+sqrt(3))^2

simplify

(5 + 3)^{2}

8 + 215

Solution steps

(5 + 3)^{2}

Apply Perfect Square Formula:

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

(5 + 3)^{2} = (5)^{2} + 253 + (3)^{2}

= (5)^{2} + 253 + (3)^{2}

(5)^{2} + 253 + (3)^{2} = 8 + 215

= 8 + 215

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What is (sqrt(5)+sqrt(3))^2 ?
The solution to (sqrt(5)+sqrt(3))^2 is 8+2sqrt(15)