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

The solution to (2-3sqrt(2))^2 is 22-12sqrt(2)

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

simplify

(2 - 32)^{2}

22 - 122

Decimal Notation

5.02943 \dots

Solution steps

(2 - 32)^{2}

Apply Perfect Square Formula:

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

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

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

2^{2} - 2 \cdot 2 \cdot 32 + (32)^{2} = 22 - 122

= 22 - 122

3 \times 0

- \frac{1}{2} \cdot (- 2)

\frac{8}{10}

\frac{1}{sec ( x )}

2 x^{2} - 29 x - 15