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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.
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.
12 Οκτ 2023 · What is the Square Root of 64/121? The square root of 64/121, represented as √(64/121), simplifies to 8/11. This means that when you take the square root of the fraction 64/121, the result is 8/11.
• No radicals appear in the denominator of a fraction. You can use the property below to simplify radical expressions involving square roots. Using the Product Property of Square Roots
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.
Objectives. Chapter 3. Simplify expressions with square roots. Simplify radicals with an index greater than two. Add and subtract like radicals by first simplifying each radical. Multiply and divide radical expressions using the product and quotient rules for radicals. Rationalize the denominators of radical expressions.
