6.1 Homework Problems: Introduction to Radicals and Simplifying Radical Expressions
1. Simplify the radical and write it in its simplest form
a. [latex]\sqrt{\frac{49}{100}}[/latex]
b. [latex]\sqrt{\frac{20}{45}}[/latex]
c. [latex]\sqrt{\frac{112}{567}}[/latex]
d. [latex]\sqrt{\frac{3}{108}}[/latex]
e. [latex]\frac{\sqrt2}{\sqrt{12}}[/latex]
f. [latex]\frac{3\sqrt3}{12\sqrt{48}}[/latex]
2. Evaluate the following (if no solution write NaN)
a. [latex]\sqrt[3]{-27}[/latex]
b. [latex]-\sqrt[4]{256}[/latex]
c. [latex]\ \ \sqrt[5]{-32}[/latex]
d. [latex]\sqrt{-25}[/latex]
e. [latex]-\sqrt[3]{125}[/latex]
f. [latex]\sqrt[6]{-64}[/latex]
g. [latex]\ \sqrt[3]{\frac{8}{125}}[/latex]
h. [latex]\sqrt[5]{\frac{1}{32}}[/latex]
i. [latex]\sqrt[4]{\frac{81}{1296}}[/latex]
j. [latex]\sqrt[2]{\frac{4}{36}}[/latex]
k. [latex]\sqrt{153}[/latex]
l. [latex]\sqrt{576}[/latex]
m. [latex]\sqrt{720}[/latex]
n. [latex]\sqrt{7875}[/latex]
3. Approximate the value of the radical with a calculator
a. [latex]\sqrt3[/latex]
b. [latex]\sqrt2[/latex]