Asked by Danalakota Santhosh on Apr 29, 2024
Verified
Simplify the radical 242\sqrt { 242 }242 , if possible.
A) 11211 \sqrt { 2 }112
B) 2
C) 2422242 \sqrt { 2 }2422
D) 121
E) cannot be simplified
Simplify
To make something less complex or complicated, making it easier to understand or solve.
Radical
Refers to the root of a number, with the most common being the square root, though it can refer to cube roots or higher.
Square Root
A number which produces a specified quantity when multiplied by itself.
- Comprehend and assess the properties of radical expressions.
Verified Answer
ZK
Zybrea KnightMay 05, 2024
Final Answer :
A
Explanation :
To simplify a radical, look for perfect square factors of the number inside the radical.
242 can be factored as 121 multiplied by 2:
242=121⋅2=121⋅2=112\sqrt{242} = \sqrt{121 \cdot 2} = \sqrt{121} \cdot \sqrt{2} = 11\sqrt{2}242=121⋅2=121⋅2=112
Therefore, the answer is choice A, $11 \sqrt{2}$.
242 can be factored as 121 multiplied by 2:
242=121⋅2=121⋅2=112\sqrt{242} = \sqrt{121 \cdot 2} = \sqrt{121} \cdot \sqrt{2} = 11\sqrt{2}242=121⋅2=121⋅2=112
Therefore, the answer is choice A, $11 \sqrt{2}$.
Learning Objectives
- Comprehend and assess the properties of radical expressions.
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