0. Review of Algebra

In Exercises 1–38, multiply as indicated. If possible, simplify any radical expressions that appear in the product.³√x (³√24x² - ³√x)

Rewrite each expression without the absolute value bars. |√2-1|

In this Exercise Set, assume that all variables represent positive real numbers.In Exercises 1–10, add or subtract as indicated._ _ _ _6√7 - ³√x + 2√7 + 5³√x

In Exercises 1–20, use radical notation to rewrite each expression. Simplify, if possible.81^3/2

In Exercises 1–20, evaluate each expression, or state that the expression is not a real number.____√0.81

Write each root using exponents and evaluate. ∛125

Evaluate each exponential expression in Exercises 1–22. 4^−3

In Exercises 1–14, multiply using the product rule.(5x³y⁴)(20x⁷y⁸)

Write each root using exponents and evaluate. ∛216

Evaluate each expression in Exercises 1–12, or indicate that the root is not a real number. √(−17)^2

In Exercises 1–20, use the product rule to multiply.___ ___√x+6 ⋅ √x-6

Simplify each expression. See Example 1. (3y^4)(-6y^3)

In Exercises 1–38, solve each radical equation. _____x = √3x + 7 - 3

In Exercises 1–38, multiply as indicated. If possible, simplify any radical expressions that appear in the product.(7 + √2) (8 + √2)

In Exercises 11–28, add or subtract as indicated. You will need to simplify terms to identify the like radicals._ __√5 + √20