What is (sqrt(3)+2sqrt(2))(5+5sqrt(2)) ?

The solution to (sqrt(3)+2sqrt(2))(5+5sqrt(2)) is 5sqrt(3)+5sqrt(6)+10sqrt(2)+20

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simplify (sqrt(3)+2sqrt(2))(5+5sqrt(2))

simplify

(3 + 22) (5 + 52)

53 + 56 + 102 + 20

Decimal Notation

55.04983 \dots

Solution steps

(3 + 22) (5 + 52)

Apply FOIL method

(3 + 22) (5 + 52) : 53 + 56 + 102 + 20

= 53 + 56 + 102 + 20

2 x^{2} + 5 x - 3 = x^{2} + 4 x + 3

91 n^{2} + 49 n = 0

(2 - 3 i) (1 - i)

\frac{3 x}{2} - 3 x = \frac{- 5 x + 2}{2}

x^{3} - 6 x^{2} - 7 x

What is (sqrt(3)+2sqrt(2))(5+5sqrt(2)) ?
The solution to (sqrt(3)+2sqrt(2))(5+5sqrt(2)) is 5sqrt(3)+5sqrt(6)+10sqrt(2)+20