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

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

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

simplify

(4 - 32)^{2}

34 - 242

Decimal Notation

0.05887 \dots

Solution steps

(4 - 32)^{2}

Apply Perfect Square Formula:

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

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

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

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

= 34 - 242

(- 3 + 5 i)^{2}

\frac{4 ^{2}}{4 ^{6}}

- 4 x^{2} - 3 x - 3 + (- 4) x^{2} - 9 x

∣ - 2 - 5 ∣

\frac{4 c ^{5}}{4 ( c ) ^{3}}