Lesson 611 of 1524
Roots and Radicals
Properties of a n When n is an even number and a ≥ 0 , then a n is a real number
Practice this chapterProperties of a n When n is an even number and a ≥ 0 , then a n is a real number Square Root Notation m is read ‘the square root of m ’
The square root of m , is a positive number whose square is m N th Root of a Number If b n = a , then b is an n th root of a
n When n — an even number and a ≥ 0 , then a n is a real number. complex number — A complex number is of the form a + bi , where a and b are real numbers. We call a the real part and b the imaginary part. rationalizing the denominator — Rationalizing the denominator is the process of converting a fraction with a radical in the denominator to an equivalent fraction whose denominator is an integer. radical equation — An equation in which a variable is in the radicand of a radical expression is called a radical equation.
Be able to solve a Radical Equation Step 1. Isolate one of the radical terms on one side of the equation.
Worked example
What does “n When n” mean in Roots and Radicals?
- 1Use the wording this chapter gives for n When n.
- 2The book says: an even number and a ≥ 0 , then a n is a real number.
- 3Do not use the meaning of complex number. That term means A complex number is of the form a + bi , where a and b are real numbers. We call a the real part and b the imaginary part.
Result: an even number and a ≥ 0 , then a n is a real number
Why. That is the meaning this chapter gives for n When n.
Do not swap n When n and complex number. n When n means an even number and a ≥ 0 , then a n is a real number. complex number means A complex number is of the form a + bi , where a and b are real numbers. We call a the real part and b the imaginary part.
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.