Asked by Gibson Giteru on May 25, 2024
Verified
Simplify the radical x18121y2\sqrt { \frac { x ^ { 18 } } { 121 y ^ { 2 } } }121y2x18 .
A) x1811y\frac { x ^ { 18 } } { 11 y }11yx18
B) x911\frac { x ^ { 9 } } { 11 }11x9
C) x11y\frac { x } { 11 y }11yx
D) x911y\frac { x ^ { 9 } } { 11 y }11yx9
E) x9y\frac { x ^ { 9 } } { y }yx9
Simplify Radical
The process of manipulating a radical expression into its simplest form.
- Simplify radical expressions, including square roots and higher-order roots.
- Understand and apply properties of exponents in simplification of expressions.
Verified Answer
BF
Brooke FlippinMay 27, 2024
Final Answer :
D
Explanation :
Using the property $\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$ and simplifying under the square root sign we get: x18121y2=x18121y2=x911y\sqrt{\frac{x^{18}}{121y^2}}=\frac{\sqrt{x^{18}}}{\sqrt{121y^2}}=\frac{x^9}{11y}121y2x18=121y2x18=11yx9 Therefore, the answer is (D).
Learning Objectives
- Simplify radical expressions, including square roots and higher-order roots.
- Understand and apply properties of exponents in simplification of expressions.
Related questions
Simplify the Expression \(9 \sqrt { u } - 3 + ...
Perform the Subtraction and Simplify Your Answer \(\sqrt { 80 } ...
Simplify the Expression \(\left( \frac { 9 m ^ { \frac ...
Simplify the Expression \(\sqrt { x } - \sqrt { 16 ...
Choose the Correct Statement Relating the Two Expressions \(\sqrt { 7 ...