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IMG_1444.PNG ( please answer these WITH YOUR WORK SHOWING!) it’s okay if you don’t know them all but please some of them answered would be appreciated!!!

IMG1444PNG please answer these WITH YOUR WORK SHOWING its okay if you dont know them all but please some of them answered would be appreciated class=

Respuesta :

#18)  (√2)/(2y)
#19)  7x/5
#20)  (2√5)/5
#21)  (3√5)/5
#22)  √5/b
#23)  (2√(2n))/n
#24)  (2√15)/15m

For #18:
[tex]\sqrt{\frac{18y}{36y^3}}=\sqrt{\frac{1}{2y^2}}=\frac{1}{y\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2y}[/tex]

#19:
[tex]\sqrt{\frac{49x^5}{25x^3}}=\sqrt{\frac{49x^2}{25}}=\frac{7x}{5}[/tex]

#20:
[tex]\frac{\sqrt{12}}{\sqrt{15}}=\frac{2\sqrt{3}}{\sqrt{15}}\times \frac{\sqrt{15}}{\sqrt{15}}=\frac{2\sqrt{45}}{15}=\frac{6\sqrt{5}}{15}=\frac{2\sqrt{5}}{5}[/tex]

#21:
[tex]\frac{\sqrt{72}}{\sqrt{40}}=\frac{6\sqrt{2}}{2\sqrt{10}}=\frac{3\sqrt{2}}{\sqrt{10}}\times \frac{\sqrt{10}}{\sqrt{10}}=\frac{3\sqrt{20}}{10}=\frac{6\sqrt{5}}{10}=\frac{3\sqrt{5}}{5}[/tex]

#22:
[tex]\sqrt{\frac{25b}{5b^3}}=\sqrt{\frac{5}{b^2}}=\frac{\sqrt{5}}{b}[/tex]

#23:
[tex]\sqrt{\frac{24}{3n}}=\sqrt{\frac{8}{n}}=\frac{2\sqrt{2}}{\sqrt{n}}\times \frac{\sqrt{n}}{\sqrt{n}}=\frac{2\sqrt{2n}}{n}[/tex]

#24:
[tex]\sqrt{\frac{8}{30m^2}}=\sqrt{\frac{4}{15m^2}}=\frac{2}{m\sqrt{15}}\times \frac{\sqrt{15}}{\sqrt{15}}=\frac{2\sqrt{15}}{15m}[/tex]

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