What is (2sqrt(7)+3sqrt(6))(5sqrt(2)+4sqrt(3)) ?

The solution to (2sqrt(7)+3sqrt(6))(5sqrt(2)+4sqrt(3)) is 10sqrt(14)+8sqrt(21)+30sqrt(3)+36sqrt(2)

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Popular >

simplify (2sqrt(7)+3sqrt(6))(5sqrt(2)+4sqrt(3))

simplify

(27 + 36) (52 + 43)

1014 + 821 + 303 + 362

Decimal Notation

176.95039 \dots

Solution steps

(27 + 36) (52 + 43)

Apply FOIL method:

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

a = 27, b = 36, c = 52, d = 43

= 27 \cdot 52 + 27 \cdot 43 + 36 \cdot 52 + 36 \cdot 43

= 2 \cdot 572 + 2 \cdot 473 + 3 \cdot 562 + 3 \cdot 463

Simplify

2 \cdot 572 + 2 \cdot 473 + 3 \cdot 562 + 3 \cdot 463 : 1014 + 821 + 303 + 362

= 1014 + 821 + 303 + 362

\frac{p}{4} = \frac{p + 5}{9}

w^{2} = - 4

64 x^{2} - 9 = 0

3 (x + 4) (x - 6) \geq 0

(x + 4) (x - 2) \geq 0

What is (2sqrt(7)+3sqrt(6))(5sqrt(2)+4sqrt(3)) ?
The solution to (2sqrt(7)+3sqrt(6))(5sqrt(2)+4sqrt(3)) is 10sqrt(14)+8sqrt(21)+30sqrt(3)+36sqrt(2)