What is (sqrt(3)+4sqrt(7))^2 ?

The solution to (sqrt(3)+4sqrt(7))^2 is 115+8sqrt(21)

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simplify (sqrt(3)+4sqrt(7))^2

simplify

(3 + 47)^{2}

115 + 821

Decimal Notation

151.66060 \dots

Solution steps

(3 + 47)^{2}

Apply Perfect Square Formula:

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

(3 + 47)^{2} = (3)^{2} + 23 \cdot 47 + (47)^{2}

= (3)^{2} + 23 \cdot 47 + (47)^{2}

(3)^{2} + 23 \cdot 47 + (47)^{2} = 115 + 821

= 115 + 821

x^{3} y - 4 x y + z^{2} x^{2} - 4 z^{2}

\frac{\frac{1}{8}}{2}

x^{2} + 24 x + 144 = 0

60 = - 5 (x - 6)

\frac{( 63 + 112 ) \cdot 28}{42}

What is (sqrt(3)+4sqrt(7))^2 ?
The solution to (sqrt(3)+4sqrt(7))^2 is 115+8sqrt(21)