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

The solution to (3-sqrt(2))(3-sqrt(2)) is 11-6sqrt(2)

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

simplify

(3 - 2) (3 - 2)

11 - 62

Decimal Notation

2.51471 \dots

Solution steps

(3 - 2) (3 - 2)

Apply exponent rule:

aa = a^{2}

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

= (3 - 2)^{2}

Apply Perfect Square Formula:

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

(3 - 2)^{2} = 3^{2} - 2 \cdot 32 + (2)^{2}

= 3^{2} - 2 \cdot 32 + (2)^{2}

3^{2} - 2 \cdot 32 + (2)^{2} = 11 - 62

= 11 - 62

(e^{- \frac{x}{9}})^{2}

7 \cdot 1 0^{- 5} \cdot 9.8

What is (3-sqrt(2))(3-sqrt(2)) ?
The solution to (3-sqrt(2))(3-sqrt(2)) is 11-6sqrt(2)