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Simplify. _____________
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Q. Simplify. _____________
- Apply Quotient Rule: Apply the quotient rule of radicals to the expression . According to the quotient rule, the square root of a fraction is equal to the square root of the numerator divided by the square root of the denominator. Therefore, can be written as .
- Calculate Square Root of Numerator: Calculate the square root of the numerator, which is . The number is a perfect square because it can be expressed as times . Thus, equals .
- Calculate Square Root of Denominator: Calculate the square root of the denominator, which is .The number is a perfect square because it can be expressed as times .Thus, equals .
- Divide Square Roots: Divide the square root of the numerator by the square root of the denominator.We have found that is and is .Therefore, equals .
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