What is (18x^2sqrt(14x^8))/6 sqrt(7x^4) ?

The solution to (18x^2sqrt(14x^8))/6 sqrt(7x^4) is 21sqrt(2)x^8

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simplify (18x^2sqrt(14x^8))/6 sqrt(7x^4)

simplify

\frac{18 x ^{2} 14 x ^{8}}{6} 7 x^{4}

212 x^{8}

Solution steps

\frac{18 x ^{2} 14 x ^{8}}{6} 7 x^{4}

Simplify

7 x^{4} : 7 x^{2}

= \frac{18 x ^{2} 14 x ^{8}}{6} 7 x^{2}

Cancel

\frac{18 x ^{2} 14 x ^{8}}{6} : 314 x^{6}

= 314 x^{6} 7 x^{2}

Simplify

x^{6} x^{2} : x^{8}

= 314 x^{8} 7

= 3147 x^{8}

14 = 72

= 3727 x^{8}

Apply radical rule:

a a = a, a \geq 0

77 = 7

= 3 \cdot 72 x^{8}

Multiply the numbers:

3 \cdot 7 = 21

= 212 x^{8}

\frac{13}{11}

+ 81 p^{2} - 144 pq + 64 q^{2}

\frac{26}{13}

3 + - 8

a^{2} \cdot b - a \cdot b^{2} \cdot c \cdot d^{3}

What is (18x^2sqrt(14x^8))/6 sqrt(7x^4) ?
The solution to (18x^2sqrt(14x^8))/6 sqrt(7x^4) is 21sqrt(2)x^8