What is (3sqrt(2)-4)^2 ?

The solution to (3sqrt(2)-4)^2 is 34-24sqrt(2)

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simplify (3sqrt(2)-4)^2

simplify

(32 - 4)^{2}

34 - 242

Decimal Notation

0.05887 \dots

Solution steps

(32 - 4)^{2}

Apply Perfect Square Formula:

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

(32 - 4)^{2} = (32)^{2} - 2 \cdot 32 \cdot 4 + 4^{2}

= (32)^{2} - 2 \cdot 32 \cdot 4 + 4^{2}

(32)^{2} - 2 \cdot 32 \cdot 4 + 4^{2} = 34 - 242

= 34 - 242

\frac{0.619}{61.7}

\frac{2 n ^{6}}{9 n ^{3}}

x - 3 \leq 1 and 8 x \geq - 16

160 = 490 x^{2}

\frac{2}{5} \cdot 5