What is sqrt((378x^7y^5)/(363x^4y^7)) ?

The solution to sqrt((378x^7y^5)/(363x^4y^7)) is (3sqrt(14)xsqrt(x))/(11y)

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simplify sqrt((378x^7y^5)/(363x^4y^7))

simplify

\frac{378 x ^{7} y ^{5}}{363 x ^{4} y ^{7}}

\frac{3 14 x x}{11 y}

Solution steps

\frac{378 x ^{7} y ^{5}}{363 x ^{4} y ^{7}}

Cancel

\frac{378 x ^{7} y ^{5}}{363 x ^{4} y ^{7}} : \frac{126 x ^{3}}{121 y ^{2}}

= \frac{126 x ^{3}}{121 y ^{2}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

= \frac{126 x ^{3}}{121 y ^{2}}

Simplify

126 x^{3} : 314 x x

= \frac{3 14 x x}{121 y ^{2}}

Simplify

121 y^{2} : 11 y

= \frac{3 14 x x}{11 y}

2200

x^{2} > 2 - x

3 x^{2} - 108

x^{2} + 2 x - 1

- 1 (a - 5) + 10 \leq 12

What is sqrt((378x^7y^5)/(363x^4y^7)) ?
The solution to sqrt((378x^7y^5)/(363x^4y^7)) is (3sqrt(14)xsqrt(x))/(11y)