What is (sqrt(2)-1)(sqrt(2)-1) ?

The solution to (sqrt(2)-1)(sqrt(2)-1) is 3-2sqrt(2)

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simplify (sqrt(2)-1)(sqrt(2)-1)

simplify

(2 - 1) (2 - 1)

3 - 22

Decimal Notation

0.17157 \dots

Solution steps

(2 - 1) (2 - 1)

Apply exponent rule:

aa = a^{2}

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

= (2 - 1)^{2}

Apply Perfect Square Formula:

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

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

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

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

= 3 - 22

e^{- s t} (t) d t

(2 x^{2}) (5 x y)

- 3 e^{- t}

- 3 e^{- 3}

4.4 \cdot 1 0^{- 6}

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