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Using Fractional Exponents to Describe Roots. The laws of exponents suggest an exponential notation for roots involving fractional exponents. For instance, applying the exponent rules to the expression a1/2, we get. Thus, a1/2 should be the number whose square is a, so we define. Similarly, we define.
Rationalizing the Denominator. Square roots such as 2, 3, and 5 are irrational numbers. If roots of this type appear in the denominator of a fraction, it is customary to rewrite the fraction with. a rational number in the denominator, or rationalize it.
Find the square root of fraction sqrt(64/121). Tiger Algebra's step-by-step solution shows you how to find the square roots of fractions.
Enter the radical expression below for which you want to calculate the square root. The square root calculator finds the square root of the given radical expression. If a given number is a perfect square, you will get a final answer in exact form.
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29 Ιουλ 2024 · Convert the decimal into a fraction. Find any square roots of the fraction or estimate it. Make the fraction equal to the square root you found squared. Cancel the square root and the square leaving you with the fraction. Rewrite the fraction as a decimal as your final answer.
