SIMPLIFYING A SUM OF RADICAL EXPRESSIONS CALCULATOR
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Example
Simplify:
Solution
This radical is not in simplified form because it has a fraction under the radical symbol.| We cannot simplify the fraction because the numerator and denominator have no common factors except 1 and -1. Instead we will write the radical as a quotient of two radicals. Then we will try to simplify each radical so that we can write the expression without a radical in the denominator. |
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| Use the Division Property of Radicals to write the radical as a quotient of two radicals. |
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| For each radical, factor the radicand. Use perfect fourth power factors when possible. |
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| Write as a product of radicals. Place each perfect fourth power under its own radical symbol. |
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| Simplify the fourth root of each perfect fourth power. |
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| Multiply the factors outside the radical. |
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| So, |
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