What is (6+4sqrt(3))^2 ?

The solution to (6+4sqrt(3))^2 is 84+48sqrt(3)

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simplify (6+4sqrt(3))^2

simplify

(6 + 43)^{2}

84 + 483

Decimal Notation

167.13843 \dots

Solution steps

(6 + 43)^{2}

Apply Perfect Square Formula:

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

(6 + 43)^{2} = 6^{2} + 2 \cdot 6 \cdot 43 + (43)^{2}

= 6^{2} + 2 \cdot 6 \cdot 43 + (43)^{2}

6^{2} + 2 \cdot 6 \cdot 43 + (43)^{2} = 84 + 483

= 84 + 483

- \frac{0.8 ( 19 )}{( 0.01 ( 19 ) ^{2} + 1 ) ^{2}}

3 5^{2} + a^{2} = 9 1^{2}

5 x - 29 > - 34 or 2 x + 31 < 29

\frac{3}{2} + 5 x \geq \frac{4}{3} x + 8 - \frac{5}{4}

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