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Radicals Calculator

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Example
Created on 2024-06-20Asked by Liam Carter (Solvelet student)
Simplify the expression: 50 \sqrt{50} .

Solution

To simplify the expression 50 \sqrt{50} : 1. Factor 50 50 into its prime factors: 50=252. 50 = 2 \cdot 5^2. 2. Use the property of square roots: 50=252. \sqrt{50} = \sqrt{2 \cdot 5^2}. 3. Simplify by taking the square root of 52 5^2 : 50=52. \sqrt{50} = 5\sqrt{2}. Therefore, 50=52 \sqrt{50} = 5\sqrt{2} . Solved on Solvelet with Basic AI Model
Some of the related questions asked by Alexander Perez on Solvelet
1. Simplify the expression 18 \sqrt{18} .2. Find the value of 52+122\sqrt{5^2 + 12^2}.
DefinitionRadicals are mathematical expressions, requiring roots, i.e. square roots (x​), cube roots (3x​), etc. It is used to represent the operation that is inverse of raising to a power. Example: 25​=5 because 52=25.
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