What is (1+4sqrt(10))(2-sqrt(10)) ?

The solution to (1+4sqrt(10))(2-sqrt(10)) is -38+7sqrt(10)

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simplify (1+4sqrt(10))(2-sqrt(10))

simplify

(1 + 410) (2 - 10)

- 38 + 710

Decimal Notation

- 15.86405 \dots

Solution steps

(1 + 410) (2 - 10)

Apply FOIL method

(1 + 410) (2 - 10) : - 38 + 710

= - 38 + 710

0 = x^{2} + 4 x + 2

5 x + 15 + x y + 3 y

x^{- \frac{1}{2}} \cdot x^{\frac{1}{2}}

2 x - \frac{1 - 3 x}{10} - \frac{2}{3} = 2 \cdot (x - 3) + \frac{1}{5}

6 v^{2} + 66 v + 60

What is (1+4sqrt(10))(2-sqrt(10)) ?
The solution to (1+4sqrt(10))(2-sqrt(10)) is -38+7sqrt(10)