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Powers and Roots: Introduction Video Lecture | Crash Course for GRE
FAQs on Powers and Roots: Introduction Video Lecture - Crash Course for GRE
| 1. How do you calculate the square root of a number? |  |
Ans. To calculate the square root of a number, you can use the square root symbol (√) or raise the number to the power of 0.5. For example, the square root of 25 is √25 = 5 or 25^0.5 = 5.
| 2. What is the difference between a power and a root? | |
Ans. A power is the result of multiplying a number by itself a certain number of times, while a root is the inverse operation of raising a number to a power. For example, 2^3 is a power, while √8 is a root.
| 3. How can you simplify expressions involving powers and roots? | |
Ans. To simplify expressions involving powers and roots, you can use the properties of exponents and radicals. For example, when multiplying two numbers with the same base, you can add the exponents. Similarly, when taking the square root of a product, you can take the square root of each factor separately.
| 4. Can you have a negative number under a square root? | |
Ans. Yes, you can have a negative number under a square root, but it will result in an imaginary number. The square root of a negative number is denoted by "i" in complex numbers, where i is the imaginary unit equal to the square root of -1.
| 5. How do you calculate the square root of a decimal number? | |
Ans. To calculate the square root of a decimal number, you can approximate the answer using a calculator or long division method. Simply input the decimal number and find the square root value, which may also be in decimal form.
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Sep 09, 2025
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