Question

5E%7B%3F%7D%20%7D%5E%7B%3F%7D%20%7D%20%7D%5E%7B2%7D%20%7D%5E%7B2%7D%20%7D%20" id="TexFormula1" title="3 \sqrt{54a {8y {5 \div 3 \sqrt{2a { - 1y {2}^{?} }^{?} } }^{2} }^{2} } " alt="3 \sqrt{54a {8y {5 \div 3 \sqrt{2a { - 1y {2}^{?} }^{?} } }^{2} }^{2} } " align="absmiddle" class="latex-formula">
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Answer 1

Answer :

(a³y 3√20u)/2

Explanation :

I used these steps in solving the question

I hope it helps :)

1. Note : The quotient of roots with the same indexis equal to the root of the quotient
2. Write the division as a fraction
3. Simply the expression
4. $\frac{ {a}^{8} }{ {a}^{ - 1} } = {a}^{9} \\ \frac{ {y}^{5} }{ {y}^{2} } = {y}^{3}$
5. Use the communative property to reorder the terms
6. Take the root of the numerator and denominator separately.
7. Simplify the radical expression
8. Multiply the fraction by
9. $\frac{ \sqrt[3]{ {2}^{2} } }{ \sqrt[3]{ {2}^{2} } }$
10. Calculate the product
11. Evaluate the power ( in numerator)
12. Calculate the product ( in denominator)
13. Calculate the product of 5×4u
14. Reduce the index of the radical and exponents with 3