9.3 Multiplication of square root expressions

$\sqrt{5}\sqrt{6}$

$\sqrt{32}\sqrt{2}$

$\sqrt{x+4}\sqrt{x+3}$

$\sqrt{8m^{5}n}\sqrt{20m^{2}n}$

$\sqrt{9{\left(k-6\right)}^3}\sqrt{k^2-12k+36}$

$\sqrt{3}\left(\sqrt{2}+\sqrt{5}\right)$

$\sqrt{2a}\left(\sqrt{5a}-\sqrt{8a^3}\right)$

$\sqrt{32m^5{n}^8}\left(\sqrt{2m{n}^2}-\sqrt{10n^7}\right)$

$\sqrt{2}\sqrt{10}$

$\sqrt{3}\sqrt{15}$

$\sqrt{7}\sqrt{8}$

$\sqrt{20}\sqrt{3}$

$\sqrt{32}\sqrt{27}$

$\sqrt{45}\sqrt{50}$

$\sqrt{5}\sqrt{5}$

$\sqrt{7}\sqrt{7}$

$\sqrt{8}\sqrt{8}$

$\sqrt{15}\sqrt{15}$

$\sqrt{48}\sqrt{27}$

$\sqrt{80}\sqrt{20}$

$\sqrt{5}\sqrt{m}$

$\sqrt{7}\sqrt{a}$

$\sqrt{6}\sqrt{m}$

$\sqrt{10}\sqrt{h}$

$\sqrt{20}\sqrt{a}$

$\sqrt{48}\sqrt{x}$

$\sqrt{75}\sqrt{y}$

$\sqrt{200}\sqrt{m}$

$\sqrt{a}\sqrt{a}$

$\sqrt{x}\sqrt{x}$

$\sqrt{y}\sqrt{y}$

$\sqrt{h}\sqrt{h}$

$\sqrt{3}\sqrt{3}$

$\sqrt{6}\sqrt{6}$

$\sqrt{k}\sqrt{k}$

$\sqrt{m}\sqrt{m}$

$\sqrt{m^2}\sqrt{m}$

$\sqrt{a^2}\sqrt{a}$

$\sqrt{x^3}\sqrt{x}$

$\sqrt{y^3}\sqrt{y}$

$\sqrt{y}\sqrt{y^4}$

$\sqrt{k}\sqrt{k^6}$

$\sqrt{a^3}\sqrt{a^5}$

$\sqrt{x^3}\sqrt{x^7}$

$\sqrt{x^9}\sqrt{x^3}$

$\sqrt{y^7}\sqrt{y^9}$

$\sqrt{y^3}\sqrt{y^4}$

$\sqrt{x^8}\sqrt{x^5}$

$\sqrt{x+2}\sqrt{x-3}$

$\sqrt{a-6}\sqrt{a+1}$

$\sqrt{y+3}\sqrt{y-2}$

$\sqrt{h+1}\sqrt{h-1}$

$\sqrt{x+9}\sqrt{{\left(x+9\right)}^2}$

$\sqrt{y-3}\sqrt{{\left(y-3\right)}^5}$

$\sqrt{3a^2}\sqrt{15a^3}$

$\sqrt{2m^4{n}^3}\sqrt{14m^{5}n}$

$\sqrt{12{\left(p-q\right)}^3}\sqrt{3{\left(p-q\right)}^5}$

$\sqrt{15a^2{\left(b+4\right)}^4}\sqrt{21a^3{\left(b+4\right)}^5}$

$\sqrt{125m^5{n}^4{r}^8}\sqrt{8m^{6}r}$

$\sqrt{7{\left(2k-1\right)}^{11}{\left(k+1\right)}^3}\sqrt{14{\left(2k-1\right)}^{10}}$

$\sqrt{y^3}\sqrt{y^5}\sqrt{y^2}$

$\sqrt{x^6}\sqrt{x^2}\sqrt{x^9}$

$\sqrt{2a^4}\sqrt{5a^3}\sqrt{2a^7}$

$\sqrt{x^n}\sqrt{x^n}$

$\sqrt{y^{2}n}\sqrt{y^{4}n}$

$\sqrt{a^{2n+5}}\sqrt{a^3}$

$\sqrt{2m^{3n+1}}\sqrt{10m^{n+3}}$

$\sqrt{75{\left(a-2\right)}^7}\sqrt{48a-96}$

$\sqrt{2}\left(\sqrt{8}+\sqrt{6}\right)$

$\sqrt{5}\left(\sqrt{3}+\sqrt{7}\right)$

$\sqrt{3}\left(\sqrt{x}+\sqrt{2}\right)$

$\sqrt{11}\left(\sqrt{y}+\sqrt{3}\right)$

$\sqrt{8}\left(\sqrt{a}-\sqrt{3a}\right)$

$\sqrt{x}\left(\sqrt{x^3}-\sqrt{2x^4}\right)$

$\sqrt{y}\left(\sqrt{y^5}+\sqrt{3y^3}\right)$

$\sqrt{8a^5}\left(\sqrt{2a}-\sqrt{6a^{11}}\right)$

$\sqrt{12m^3}\left(\sqrt{6m^7}-\sqrt{3m}\right)$

$\sqrt{5x^4{y}^3}\left(\sqrt{8xy}-5\sqrt{7x}\right)$

( [link] ) Factor $a^4{y}^4-25w^2.$

( [link] ) Find the slope of the line that passes through the points $\left(-5,4\right)$ and $\left(-3,4\right).$

( [link] ) Perform the indicated operations:

$$\frac{15x^2-20x}{6x^2+x-12}·\frac{8x+12}{x^2-2x-15}÷\frac{5x^2+15x}{x^2-25}$$

( [link] ) Simplify $\sqrt{x^4{y}^2{z}^6}$ by removing the radical sign.

( [link] ) Simplify $\sqrt{12x^3{y}^5{z}^8}.$