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

The solution to (2sqrt(5)+7)^2 is 69+28sqrt(5)

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

simplify

(25 + 7)^{2}

69 + 285

Solution steps

(25 + 7)^{2}

Apply Perfect Square Formula:

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

(25 + 7)^{2} = (25)^{2} + 2 \cdot 25 \cdot 7 + 7^{2}

= (25)^{2} + 2 \cdot 25 \cdot 7 + 7^{2}

(25)^{2} + 2 \cdot 25 \cdot 7 + 7^{2} = 69 + 285

= 69 + 285

lo g_{\frac{1}{5}} (125)

x^{2} = - 24

\frac{6 ^{2} u ^{3} v ^{- 3}}{12 u ^{- 2} v}

\frac{1}{4} (12) + 1

- 2 (- x + 5) + 6 (3 x + 1) = - 3 (2 x - 5) - 4 (1 + 4 x) - 8