Lesson 568 of 1524
Roots and Radicals
If a n is a real number and n ≥ 2 , a 1 n = a n
Practice this chapterIf a n is a real number and n ≥ 2 , a 1 n = a n For any positive integers m and n , a m n = ( a n ) m and a m n = a m n
rational exponents — If a n is a real number and n ≥ 2 , a 1 n = a n . For any positive integers m and n , a m n = ( a n ) m and a m n = a m n. rationalizing the denominator — The process of converting a fraction with a radical in the denominator to an equivalent fraction whose denominator is an integer is called rationalizing the denominator. radical equation — An equation in which the variable is in the radicand of a square root is called a radical equation. like radicals — Radicals with the same index and same radicand are called like radicals.
Be able to simplify a Square Root Using the Quotient Property To simplify a square root using the Quotient Property: Step 1. Simplify the fraction in the radicand, if….
Worked example
What does “rational exponents” mean in Roots and Radicals?
- 1Use the wording this chapter gives for rational exponents.
- 2The book says: If a n is a real number and n ≥ 2 , a 1 n = a n . For any positive integers m and n , a m n = ( a n ) m and a m n = a m n.
- 3Do not use the meaning of rationalizing the denominator. That term means The process of converting a fraction with a radical in the denominator to an equivalent fraction whose denominator is an integer is called rationalizing the denominator.
Result: If a n is a real number and n ≥ 2 , a 1 n = a n . For any positive integers m and n , a m n = ( a n ) m and a m n = a m n
Why. That is the meaning this chapter gives for rational exponents.
Do not swap rational exponents and rationalizing the denominator. rational exponents means If a n is a real number and n ≥ 2 , a 1 n = a n . For any positive integers m and n , a m n = ( a n ) m and a m n = a m n. rationalizing the denominator means The process of converting a fraction with a radical in the denominator to an equivalent fraction whose denominator is an integer is called rationalizing the denominator.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.