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(sqrt(54a^(3)b^(7)))/(sqrt(6b^(5)))

54a3b76b5 \frac{\sqrt{54 a^{3} b^{7}}}{\sqrt{6 b^{5}}}

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Full solution

Q. 54a3b76b5 \frac{\sqrt{54 a^{3} b^{7}}}{\sqrt{6 b^{5}}}
  1. Simplify Expression: Simplify the expression inside the square roots by dividing the terms under the radicals.\newline54a3b76b5=54a3b76b5 \frac{\sqrt{54a^{3}b^{7}}}{\sqrt{6b^{5}}} = \sqrt{\frac{54a^{3}b^{7}}{6b^{5}}}
  2. Simplify Fraction: Simplify the fraction inside the radical.\newline54a3b76b5=9a3b2 \frac{54a^{3}b^{7}}{6b^{5}} = 9a^{3}b^{2}
  3. Take Square Root: Take the square root of the simplified expression.\newline9a3b2=3a1.5b \sqrt{9a^{3}b^{2}} = 3a^{1.5}b

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