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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]

 

Unit 6.1 Homework Printable Copy

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