What is (sqrt(7)+sqrt(5))^2 ?

The solution to (sqrt(7)+sqrt(5))^2 is 12+2sqrt(35)

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simplify (sqrt(7)+sqrt(5))^2

simplify

(7 + 5)^{2}

12 + 235

Decimal Notation

23.83215 \dots

Solution steps

(7 + 5)^{2}

Apply Perfect Square Formula:

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

(7 + 5)^{2} = (7)^{2} + 275 + (5)^{2}

= (7)^{2} + 275 + (5)^{2}

(7)^{2} + 275 + (5)^{2} = 12 + 235

= 12 + 235

(x + 6)^{5}

(8 x + 2)^{2}

(2 x + y)^{3} - 8

(25 - 3)^{2}

What is (sqrt(7)+sqrt(5))^2 ?
The solution to (sqrt(7)+sqrt(5))^2 is 12+2sqrt(35)