Chapter 9

For the following problems, simplify each of the square root expressions. $$ \sqrt{8} \cdot \sqrt{5} $$

Find each sum or difference. $$ 4 \sqrt{18}-5 \sqrt{8} $$

For the following problems, simplify the expressions. $$ \sqrt{10} \sqrt{2} $$

Solve each square root equation. $$ \sqrt{y}=14 $$

Simplify the square root expressions. $$ \frac{\sqrt{26}}{\sqrt{13}} $$

Name both square roots of each of the following numbers. $$ 36 $$

Find each of the following products. $$ \sqrt{5} \sqrt{6} $$

Simplify each square root. $$ \sqrt{m^{8}} $$

For the following problems, simplify each of the square root expressions. $$ \frac{\sqrt{80}}{\sqrt{12}} $$

Find each sum or difference. $$ 6 x \sqrt{48}+8 x \sqrt{75} $$

For the following problems, simplify the expressions. $$ \sqrt{6} \sqrt{8} $$

Solve each square root equation. $$ \sqrt{a-7}=5 $$

Simplify the square root expressions. $$ \frac{\sqrt{7}}{\sqrt{3}} $$

Name both square roots of each of the following numbers. $$ 25 $$

Find each of the following products. $$ \sqrt{32} \sqrt{2} $$

Simplify each square root. $$ \sqrt{h^{14} k^{22}} $$

For the following problems, simplify each of the square root expressions. $$ \frac{\sqrt{n^{2}+n-12}}{\sqrt{n-3}} $$

Find each sum or difference. $$ -7 \sqrt{84 x}-12 \sqrt{189 x}+2 \sqrt{21 x} $$

For the following problems, simplify the expressions. $$ \sqrt{18} \sqrt{40} $$

Solve each square root equation. $$ \sqrt{3 a+8}-\sqrt{2 a+5}=0 $$

Simplify the square root expressions. $$ \frac{\sqrt{80 m^{5} n^{8}}}{\sqrt{5 m^{2} n}} $$

Name both square roots of each of the following numbers. $$ 100 $$

Simplify each square root. $$ \sqrt{81 a^{12} b^{6} c^{38}} $$

For the following problems, simplify each of the square root expressions. $$ \sqrt{24 a^{3} b^{5} c^{8}} $$

Find each sum or difference. $$ 9 \sqrt{6}-8 \sqrt{6}+3 $$

For the following problems, simplify the expressions. $$ \sqrt{11} \sqrt{11} $$

Simplify the square root expressions. $$ \frac{\sqrt{196(x+7)^{8}}}{\sqrt{2(x+7)^{3}}} $$

Name both square roots of each of the following numbers. $$ 64 $$

Find each of the following products. $$ \sqrt{8 m^{5} n} \sqrt{20 m^{2} n} $$

Simplify each square root. $$ \sqrt{144 x^{4} y^{80}(b+5)^{16}} $$

For the following problems, simplify the expressions. $$ \sqrt{y} \sqrt{y} $$

For the following problems, simplify each of the square root expressions. $$ \sqrt{\frac{64 x^{4} y^{5} z^{6}}{49 a^{3} b^{2} c^{9}}} $$

Find each sum or difference. $$ \sqrt{a^{3}}+4 a \sqrt{a} $$

For the following problems, solve the square root equations. $$ \sqrt{x}=5 $$

Simplify the square root expressions. $$ \frac{\sqrt{n+4}}{\sqrt{n-5}} $$

Name both square roots of each of the following numbers. $$ 1 $$

Find each of the following products. $$ \sqrt{9(k-6)^{3}} \sqrt{k^{2}-12 k+36} $$

For the following problems, simplify each of the square root expressions. $$ \sqrt{(x-2)^{2}(x+1)^{4}} $$

Find each sum or difference. $$ 4 x \sqrt{54 x^{3}}+\sqrt{36 x^{2}}+3 \sqrt{24 x^{5}}-3 x $$

For the following problems, simplify the expressions. $$ \sqrt{r^{3}} \sqrt{r^{3}} $$

For the following problems, solve the square root equations. $$ \sqrt{y}=7 $$

Simplify the square root expressions. $$ \frac{\sqrt{a^{2}-6 a+8}}{\sqrt{a-2}} $$

Name both square roots of each of the following numbers. $$ \frac{1}{4} $$

Find each of the following products. $$ \sqrt{3}(\sqrt{2}+\sqrt{5}) $$

Simplify each square root. $$ \sqrt{w^{7} z^{3} k^{13}} $$

For the following problems, simplify each of the square root expressions. $$ \sqrt{a^{2}-8 a+16} $$

Simplify each by performing the indicated operation. $$ \sqrt{5}(\sqrt{6}-4) $$

For the following problems, simplify the expressions. $$ \sqrt{m+3} \sqrt{m+3} $$

Simplify the square root expressions. $$ \frac{\sqrt{x^{3 n}}}{\sqrt{x^{n}}} $$

Name both square roots of each of the following numbers. $$ \frac{9}{16} $$