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Popular >

simplify (1-sqrt(2))^2

Solution

simplify

(1 - 2)^{2}

Solution

3 - 22

+1

Decimal Notation

0.17157 \dots

Solution steps

(1 - 2)^{2}

Apply Perfect Square Formula:

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

(1 - 2)^{2} = 1^{2} - 2 \cdot 1 \cdot 2 + (2)^{2}

= 1^{2} - 2 \cdot 1 \cdot 2 + (2)^{2}

1^{2} - 2 \cdot 1 \cdot 2 + (2)^{2} = 3 - 22

= 3 - 22

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Frequently Asked Questions (FAQ)

What is (1-sqrt(2))^2 ?
The solution to (1-sqrt(2))^2 is 3-2sqrt(2)