What is (6-sqrt(5))(3+2sqrt(10)) ?

The solution to (6-sqrt(5))(3+2sqrt(10)) is 18+12sqrt(10)-3sqrt(5)-10sqrt(2)

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simplify (6-sqrt(5))(3+2sqrt(10))

simplify

(6 - 5) (3 + 210)

18 + 1210 - 35 - 102

Decimal Notation

35.09699 \dots

Solution steps

(6 - 5) (3 + 210)

Apply FOIL method:

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

a = 6, b = - 5, c = 3, d = 210

= 6 \cdot 3 + 6 \cdot 210 + (- 5) \cdot 3 + (- 5) \cdot 210

Apply minus-plus rules

+ (- a) = - a

= 6 \cdot 3 + 6 \cdot 210 - 35 - 2510

Simplify

6 \cdot 3 + 6 \cdot 210 - 35 - 2510 : 18 + 1210 - 35 - 102

= 18 + 1210 - 35 - 102

4 x (x - 2)

252

x^{2} + 4^{2}

\frac{4}{3} \cdot \frac{7}{3}

a (a)

What is (6-sqrt(5))(3+2sqrt(10)) ?
The solution to (6-sqrt(5))(3+2sqrt(10)) is 18+12sqrt(10)-3sqrt(5)-10sqrt(2)