What is (10+sqrt(7))^2 ?

The solution to (10+sqrt(7))^2 is 107+20sqrt(7)

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simplify (10+sqrt(7))^2

simplify

(10 + 7)^{2}

107 + 207

Decimal Notation

159.91502 \dots

Solution steps

(10 + 7)^{2}

Apply Perfect Square Formula:

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

(10 + 7)^{2} = 1 0^{2} + 2 \cdot 107 + (7)^{2}

= 1 0^{2} + 2 \cdot 107 + (7)^{2}

1 0^{2} + 2 \cdot 107 + (7)^{2} = 107 + 207

= 107 + 207

2 x^{3} - 4 x^{2} - 22 x + 44

x^{2} - 3 x y - 28 y^{2}

5 x - 9 = 11

\frac{3}{29} \cdot 100

8 = \frac{1}{3} t + 2