What is (sqrt(6)-sqrt(7))(sqrt(6)-sqrt(7)) ?

The solution to (sqrt(6)-sqrt(7))(sqrt(6)-sqrt(7)) is 13-2sqrt(42)

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simplify (sqrt(6)-sqrt(7))(sqrt(6)-sqrt(7))

simplify

(6 - 7) (6 - 7)

13 - 242

Decimal Notation

0.03851 \dots

Solution steps

(6 - 7) (6 - 7)

Apply exponent rule:

aa = a^{2}

(6 - 7) (6 - 7) = (6 - 7)^{2}

= (6 - 7)^{2}

Apply Perfect Square Formula:

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

(6 - 7)^{2} = (6)^{2} - 267 + (7)^{2}

= (6)^{2} - 267 + (7)^{2}

(6)^{2} - 267 + (7)^{2} = 13 - 242

= 13 - 242

7708.3333 (1 + 0.9 \cdot \frac{100}{360})^{- 1}

\frac{5}{x} \cdot 5 x

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

7 \cdot 1 0^{- 3} \cdot \frac{0.19997}{1 0 ^{- 6}}

(2 x y)^{2}

What is (sqrt(6)-sqrt(7))(sqrt(6)-sqrt(7)) ?
The solution to (sqrt(6)-sqrt(7))(sqrt(6)-sqrt(7)) is 13-2sqrt(42)