What is (4sqrt(3)-2sqrt(5))(3sqrt(10)+5sqrt(6)) ?

The solution to (4sqrt(3)-2sqrt(5))(3sqrt(10)+5sqrt(6)) is 2sqrt(30)+30sqrt(2)

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simplify (4sqrt(3)-2sqrt(5))(3sqrt(10)+5sqrt(6))

simplify

(43 - 25) (310 + 56)

230 + 302

Decimal Notation

53.38085 \dots

Solution steps

(43 - 25) (310 + 56)

Apply FOIL method:

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

a = 43, b = - 25, c = 310, d = 56

= 43 \cdot 310 + 43 \cdot 56 + (- 25) \cdot 310 + (- 25) \cdot 56

Apply minus-plus rules

+ (- a) = - a

= 4 \cdot 3310 + 4 \cdot 536 - 2 \cdot 3510 - 2 \cdot 556

Simplify

4 \cdot 3310 + 4 \cdot 536 - 2 \cdot 3510 - 2 \cdot 556 : 230 + 302

= 230 + 302

\frac{41}{4 + 5 i}

- 15 x^{2} - 18 x + 3 x^{4} - 8 - 7 x^{3}

∣ 2 x - 4 ∣ = 12

i^{39}

2 < 1 0^{x} < 5

What is (4sqrt(3)-2sqrt(5))(3sqrt(10)+5sqrt(6)) ?
The solution to (4sqrt(3)-2sqrt(5))(3sqrt(10)+5sqrt(6)) is 2sqrt(30)+30sqrt(2)