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Simplifying Radicals Video Lecture | Mathematics for Digital SAT
FAQs on Simplifying Radicals Video Lecture - Mathematics for Digital SAT
| $1. What are radicals in mathematics? |  |
Ans. Radicals are expressions that involve roots, such as square roots, cube roots, etc. The most common radical is the square root, denoted by the radical symbol (√), which represents a number that, when multiplied by itself, gives the original number.
| $2. How do you simplify a square root? | |
Ans. To simplify a square root, you look for perfect squares that can be factored out of the number under the radical. For example, to simplify √18, you can factor it as √(9*2), which simplifies to 3√2 since 9 is a perfect square.
| $3. What is the difference between simplifying and evaluating a radical? | |
Ans. Simplifying a radical involves reducing it to its simplest form, while evaluating a radical means calculating its numerical value. For instance, simplifying √50 gives you 5√2, whereas evaluating √50 gives you approximately 7.07.
| $4. Why is it important to simplify radicals in the SAT? | |
Ans. Simplifying radicals is important on the SAT because it can help you solve problems more efficiently. Many questions involve radicals, and simplifying them can make calculations easier, allowing you to arrive at the correct answer quickly.
| $5. Are there any rules for adding or subtracting radicals? | |
Ans. Yes, when adding or subtracting radicals, you can only combine like terms. This means you can only add or subtract radicals with the same index and radicand. For example, √2 + √2 = 2√2, but √2 + √3 cannot be simplified further.
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