Pearson Algebra 2 Common Core, 2011
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Pearson Algebra 2 Common Core, 2011 View details
Mid-Chapter Quiz
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Exercise 1 Page 389

If a^n=b, where a and b are real numbers and n is a positive integer, then a is an n^\text{th} root of b. How many real n^\text{th} roots are there for positive b if n is even?

10 and -10

Practice makes perfect

If a^n= b, where a and b are real numbers and n is a positive integer, then a is an {\color{#009600}{n}}^\text{th} root of b. In our case, we want to find all the real square roots of 100. a^2= 100 Because n=2 is even and b=100 is positive, there are two square roots of 100. Positive Root:& a_1= sqrt(100) Negative Root:& a_2=-sqrt(100) Let's start with the positive root. Take the square root of b=100.

a_1=sqrt(100)
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Write as a power
a_1=sqrt(10* 10)
a_1=sqrt(10^2)
a_1=10

We found the positive square root of 100, which also gives us the negative root. Positive Root:& a_1= 10 Negative Root:& a_2=-10