What is (sqrt(10)-sqrt(7))(sqrt(10)-sqrt(7)) ?

The solution to (sqrt(10)-sqrt(7))(sqrt(10)-sqrt(7)) is 17-2sqrt(70)

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simplify (sqrt(10)-sqrt(7))(sqrt(10)-sqrt(7))

simplify

(10 - 7) (10 - 7)

17 - 270

Decimal Notation

0.26679 \dots

Solution steps

(10 - 7) (10 - 7)

Apply exponent rule:

aa = a^{2}

(10 - 7) (10 - 7) = (10 - 7)^{2}

= (10 - 7)^{2}

Apply Perfect Square Formula:

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

(10 - 7)^{2} = (10)^{2} - 2107 + (7)^{2}

= (10)^{2} - 2107 + (7)^{2}

(10)^{2} - 2107 + (7)^{2} = 17 - 270

= 17 - 270

a^{2} b^{2}

(5 a x^{2}) (a^{2} x^{3}) (6 a x)

(x - y)^{2} (x + y)^{2}

2 e^{- x}

What is (sqrt(10)-sqrt(7))(sqrt(10)-sqrt(7)) ?
The solution to (sqrt(10)-sqrt(7))(sqrt(10)-sqrt(7)) is 17-2sqrt(70)