What is (2sqrt(5)+3sqrt(7))^2 ?

The solution to (2sqrt(5)+3sqrt(7))^2 is 83+12sqrt(35)

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simplify (2sqrt(5)+3sqrt(7))^2

simplify

(25 + 37)^{2}

83 + 1235

Decimal Notation

153.99295 \dots

Solution steps

(25 + 37)^{2}

Apply Perfect Square Formula:

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

(25 + 37)^{2} = (25)^{2} + 2 \cdot 25 \cdot 37 + (37)^{2}

= (25)^{2} + 2 \cdot 25 \cdot 37 + (37)^{2}

(25)^{2} + 2 \cdot 25 \cdot 37 + (37)^{2} = 83 + 1235

= 83 + 1235

lo g_{2} (3.5)

10 k^{2} + 75 k + 35

2 n^{2} + 3 n - 9

49 x^{2} - 42 x y + 9 y^{2}

\frac{8}{3} = 8 x - 4 x^{2}

What is (2sqrt(5)+3sqrt(7))^2 ?
The solution to (2sqrt(5)+3sqrt(7))^2 is 83+12sqrt(35)