Algebra: Chapter 11, Lesson 3, page 493
Simplifying Radical Expressions
`sqrt(x^2)` = square root `(x^2)` = `x`
Its easy to simplify radicals. You can break up numbers and variables, because multiplication is commutative. If asked to find the `sqrt(100)` , we could break up `100` into `25 * 4`. We know that the `sqrt(25) = 5` and the `sqrt(4) = 2`, then the `sqrt(100) = 5 * 2 = 10`. You can do the same with variables that have exponents.
If asked to find the `sqrt` of a variable with even exponents, `sqrt(x^6)` for example, the answer is just the variable with the exponent divided in 2. So for `sqrt(x^6)`, the answer is `x^3`. If the variable has odd exponents, like `x^27`, convert that to `(x^26)*(x^1)` and then take the `sqrt(x^26) * sqrt(x^1) = (x^13)* sqrt(x)`.
See these examples (1/2 way down the page) too.
Here again is a great link from Purplemath.
Two of tonight’s homework problems solved by MrE are here! Just click it.
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Algebra 1a: Chapter 1 REVIEW!
We begin reviewing the first part of the textbook in preparation for CST testing the first week in May. “Oh, my, I think I forgot how to do this” was a common response today!