What is (4+5sqrt(3))^2 ?

The solution to (4+5sqrt(3))^2 is 91+40sqrt(3)

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simplify (4+5sqrt(3))^2

simplify

(4 + 53)^{2}

91 + 403

Solution steps

(4 + 53)^{2}

Apply Perfect Square Formula:

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

(4 + 53)^{2} = 4^{2} + 2 \cdot 4 \cdot 53 + (53)^{2}

= 4^{2} + 2 \cdot 4 \cdot 53 + (53)^{2}

4^{2} + 2 \cdot 4 \cdot 53 + (53)^{2} = 91 + 403

= 91 + 403

108 v^{2} - 75

\frac{4 x ^{4}}{3 x ^{3} y ^{2}}

x^{3} + 6 x^{2} + 11 x^{6}

\frac{2}{3} \cdot \frac{5}{8}

5^{l o g_{5} (6) + l o g_{5} (7)}