What is (4-sqrt(6))(7+sqrt(2)) ?

The solution to (4-sqrt(6))(7+sqrt(2)) is 28+4sqrt(2)-7sqrt(6)-2sqrt(3)

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simplify (4-sqrt(6))(7+sqrt(2))

simplify

(4 - 6) (7 + 2)

28 + 42 - 76 - 23

Solution steps

(4 - 6) (7 + 2)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 4, b = - 6, c = 7, d = 2

= 4 \cdot 7 + 42 + (- 6) \cdot 7 + (- 6) 2

Apply minus-plus rules

+ (- a) = - a

= 4 \cdot 7 + 42 - 76 - 62

Simplify

4 \cdot 7 + 42 - 76 - 62 : 28 + 42 - 76 - 23

= 28 + 42 - 76 - 23

\frac{x}{3} = 1 + \frac{x - 15}{5}

8 x^{2} + 16 x = 40

11 - 0.3 x = 0.83

- 7 + 5 (3 x - 4) = - 42

\frac{( x + 3 )}{2 x - 1} \geq 1

What is (4-sqrt(6))(7+sqrt(2)) ?
The solution to (4-sqrt(6))(7+sqrt(2)) is 28+4sqrt(2)-7sqrt(6)-2sqrt(3)