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

The solution to (3sqrt(7)+5)^2 is 88+30sqrt(7)

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

simplify

(37 + 5)^{2}

88 + 307

Decimal

167.37253 \dots

Solution steps

(37 + 5)^{2}

Apply Perfect Square Formula:

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

(37 + 5)^{2} = (37)^{2} + 2 \cdot 37 \cdot 5 + 5^{2}

= (37)^{2} + 2 \cdot 37 \cdot 5 + 5^{2}

(37)^{2} + 2 \cdot 37 \cdot 5 + 5^{2} = 88 + 307

= 88 + 307

(x - \frac{1}{4 x})^{2}

4^{- 2} x^{- 1} y^{2}

⌊ 1.5 ⌋

\frac{m ^{6} - n ^{6}}{m ^{2} - n ^{2}}

\frac{1}{3} (3 x^{2} + 9)^{2} - 9