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

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

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

simplify

(1 - 2) (1 - 2)

3 - 22

Decimal Notation

0.17157 \dots

Solution steps

(1 - 2) (1 - 2)

Apply exponent rule:

aa = a^{2}

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

= (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

4 x^{3} (6 x^{2})

(6.67 \cdot 1 0^{- 11}) \cdot \frac{2 ^{2}}{0.28 5 ^{2}}

1.2 x 1 0^{- 3}

3 x^{2} (x - 2)^{2}

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