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Powers and Roots: Simplifying Roots Video Lecture | Crash Course for GRE

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FAQs on Powers and Roots: Simplifying Roots Video Lecture - Crash Course for GRE

1. How do you simplify square roots on the GRE?
Ans. To simplify square roots on the GRE, you need to find the factors of the number under the square root sign and look for perfect square factors. Then, take the square root of those perfect squares and multiply them together to simplify the expression.
2. What is the difference between a square root and a cube root on the GRE?
Ans. A square root is the number that, when multiplied by itself, gives the original number, while a cube root is the number that, when multiplied by itself three times, gives the original number. When simplifying roots on the GRE, make sure to recognize whether you are dealing with a square root or a cube root.
3. Can you simplify roots with variables on the GRE?
Ans. Yes, you can simplify roots with variables on the GRE by following the same principles as simplifying numerical roots. Look for perfect square factors of the variable term and take the square root of those factors. Remember to consider the rules of exponents when simplifying roots with variables.
4. How do you determine the principal square root on the GRE?
Ans. The principal square root on the GRE is the positive square root of a non-negative real number. When simplifying square roots, always consider the principal square root unless otherwise specified. If a negative square root is needed, it is typically denoted with the negative sign in front of the square root symbol.
5. Is it important to simplify roots in GRE math problems?
Ans. Yes, it is important to simplify roots in GRE math problems to make calculations easier and to ensure that you are providing the most simplified form of the expression. Simplifying roots can also help you identify patterns and relationships within the mathematical problem you are solving.
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