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Simplifying Radicals worksheet with problems on factoring, adding/subtracting, multiplying, and rationalizing denominators.

A worksheet titled "Simplifying Radicals" from Math Monks, featuring exercises to simplify radicals by factoring, adding/subtracting, multiplying, and dividing/rationalizing the denominator.

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1) $2\sqrt{7}$
2) $6\sqrt{2}$
3) $4\sqrt{2}$
4) $5\sqrt{7}$
5) $6\sqrt{3}$
6) $4\sqrt{5}$
7) $\sqrt{3}$
8) $-21\sqrt{11}$
9) $10\sqrt{5}$
10) $-22\sqrt{21}$
11) $\sqrt{15}$
12) $6\sqrt{6} + 9\sqrt{9} = 6\sqrt{6} + 27$
13) $2\sqrt{35}$
14) $2$
15) $6\sqrt{294} = 6 \cdot 7\sqrt{6} = 42\sqrt{6}$
16) $\frac{\sqrt[3]{90}}{3}$
17) $\frac{(1+\sqrt{2})(3-\sqrt{5})}{4} = \frac{3 - \sqrt{5} + 3\sqrt{2} - \sqrt{10}}{4}$
18) $\frac{5(2+\sqrt{7})}{-3} = -\frac{10 + 5\sqrt{7}}{3}$

Parent Tip: Review the logic above to help your child master the concept of properties of radicals worksheet.

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