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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 (- 1) 2 + (2)^{2}

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

(- 1)^{2} + 2 (- 1) 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)