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

The solution to (7-sqrt(10))(7-sqrt(10)) is 59-14sqrt(10)

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

simplify

(7 - 10) (7 - 10)

59 - 1410

Decimal Notation

14.72811 \dots

Solution steps

(7 - 10) (7 - 10)

Apply exponent rule:

aa = a^{2}

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

= (7 - 10)^{2}

Apply Perfect Square Formula:

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

(7 - 10)^{2} = 7^{2} - 2 \cdot 710 + (10)^{2}

= 7^{2} - 2 \cdot 710 + (10)^{2}

7^{2} - 2 \cdot 710 + (10)^{2} = 59 - 1410

= 59 - 1410

\frac{- 80}{5}

x \cdot x - 1

What is (7-sqrt(10))(7-sqrt(10)) ?
The solution to (7-sqrt(10))(7-sqrt(10)) is 59-14sqrt(10)