What is 8sqrt(6)*6sqrt(21) ?

The solution to 8sqrt(6)*6sqrt(21) is 144sqrt(14)

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simplify 8sqrt(6)*6sqrt(21)

simplify

86 \cdot 621

14414

Decimal Notation

538.79866 \dots

Solution steps

86 \cdot 621

6 = 32

= 832 \cdot 621

21 = 37

= 832 \cdot 637

Apply radical rule:

a a = a, a \geq 0

33 = 3

= 8 \cdot 32 \cdot 67

Apply radical rule:

a b = ab, a \geq 0, b \geq 0

27 = 2 \cdot 7

= 8 \cdot 3 2 \cdot 7 \cdot 6

Multiply the numbers:

2 \cdot 7 = 14

= 8 \cdot 314 \cdot 6

Multiply the numbers:

8 \cdot 3 \cdot 6 = 144

= 14414

\frac{1}{2} (5 x - 8) + \frac{2}{5} x = - 33

2 c^{2} + 4 c + 14 = c^{2} + 9

- 2 x^{2} + 6 x + 3 = 0

w^{2} + 11 w + 30 = 0

\frac{5}{2} - 4