# algebra

Why is it important to simplify radical expressions before adding or subtracting?

1. 👍
2. 👎
3. 👁
1. note that you cannot combine radical terms if their radicands (the terms inside the radical sign) are not equal.

for example,
sqrt(8) + sqrt(18)
you cannot add them right away since 8 is not equal to 18,, thus we first simplify each term.
for sqrt(8), note that we can rewrite it as
sqrt(2*2*2) = 2*sqrt(2)
for sqrt(18), note that we can rewrite it as
sqrt(2*3*3) = 3*sqrt(2)
2*sqrt(2) + 3*sqrt(2) = 5*sqrt(2)

hope this helps~ :)

1. 👍
2. 👎

## Similar Questions

1. ### Mathmatics

4.8.1 - Test: Radical Expressions and Equations Unit Test Part 1 Honors Algebra 1 B (CL); 7.20 / 4. Radical Expressions and Data Analysis / 4.8. Radical Expressions and Data Analysis Unit Test Connexus studies! Just went through

2. ### algebra

am I right? 1. Simplify radical expression sqrt 50 5 sqrt ^2*** 2 sqrt ^5 5 sqrt ^10 5 2. Simplify the radical expression sqrt 56x^2 28x 2x sqrt 14*** 2x sqrt 7 sqrt 14x2 3. Simplify the radical expression. sqrt 490y^5w^6 2 sqrt

3. ### algebra

1. simplify the radical expression. √45 5√3 3√5 3√15** 15 2. Simplify the radical expression √180x^2 90x** 6x√5 5x√6 6√5x^2 3. simplify he radical expression √250h^4 k^5 hk√125 5√10h^4 k^5 5h^2 k^2√10k**

4. ### History

which answer best describes andrew johnson's relationship with the radical republicans? A:he founded the radical Republican movement B: he worked with the radical Republicans to pass important legislation C: you frequently voted

1. ### Algebra

1.Simplify the radical expression. √5+6√√5 A.5√5 B.7√10 C.7√5 D.5√10 2.Simplify the radical expression. 2√6+3√96 A.14√6 B.14√96 C.5√96 D.50√6 3.Simplify the radical expression. (8+√11)(8-√11) A.53

2. ### Algebra

1- Simplify the radical expression: √250h^4k^5 a) hk√125 b) 5√10h^4k^5 c) 5h^2k^2√10k d) 25hk√10k ** 2- Simplify the radical expression: √21y * 5√49y a) 5y√1,029 b) 5√1,029y^2 c) 35y√21 d) 35√21y^2 ** 3-

4. ### algebra

how is doing operations, adding, subtracting, multiplying and dividing with rational expressions similiar to or different from doing operations with fractions? When would this be used in real life?

What is the process we follow when adding and subtracting radical expressions? Explain the process and demonstrate with an example.