What is (sqrt(3)+sqrt(15))^2 ?

The solution to (sqrt(3)+sqrt(15))^2 is 18+6sqrt(5)

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simplify (sqrt(3)+sqrt(15))^2

simplify

(3 + 15)^{2}

18 + 65

Decimal Notation

31.41640 \dots

Solution steps

(3 + 15)^{2}

Apply Perfect Square Formula:

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

(3 + 15)^{2} = (3)^{2} + 2315 + (15)^{2}

= (3)^{2} + 2315 + (15)^{2}

(3)^{2} + 2315 + (15)^{2} = 18 + 65

= 18 + 65

4 c^{6} + 8 c^{3}

(3 y + 4) (3 y - 4)

24 g^{2} - 39 g h + 51 h^{2}

- \frac{1}{3} + 7

What is (sqrt(3)+sqrt(15))^2 ?
The solution to (sqrt(3)+sqrt(15))^2 is 18+6sqrt(5)