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Mathematics 23 Online
OpenStudy (anonymous):

Simplify the radical expression.

OpenStudy (anonymous):

OpenStudy (anonymous):

\[\sqrt{\frac{ 20x^13y^5 }{ 5xy^7}} = \sqrt{\frac{ 4x^{12}}{ y^2}}\]

OpenStudy (anonymous):

5 goes in 20, x in x^13, y^7 in y^5

OpenStudy (anonymous):

Corrected:\[\sqrt{\frac{ 20x^{13}y^5 }{ 5xy^7}} = \sqrt{\frac{ 4x^{12}}{ y^2}}\]

OpenStudy (anonymous):

Thank you c: Can you help with like 3 more?

OpenStudy (anonymous):

\[\frac{ \sqrt{4x^{12}} }{ \sqrt{y^2}}\]

OpenStudy (anonymous):

Finally\[ \frac{ 2x^6}{ y }\]

OpenStudy (anonymous):

Let's see :)

OpenStudy (anonymous):

OpenStudy (anonymous):

a:\[(3+\sqrt{6})(3-\sqrt{6}) \rightarrow 9 - (\sqrt6)^2 \rightarrow 9-6 =3\]

OpenStudy (anonymous):

b:\[5\sqrt7+2\sqrt{175} \rightarrow 5\sqrt7+2\sqrt{7\times25} = 5\sqrt7 + 2*5\sqrt7=15\sqrt7\]

OpenStudy (anonymous):

c: You'll have to square both sides to remove the radicals... which does leave you with\[5x -1= 4x+9\]collecting like terms:\[x=10\]

OpenStudy (anonymous):

I hope you understood the steps.

OpenStudy (anonymous):

You're amazing ^.^ Thank you

OpenStudy (anonymous):

Ah, you too! Thanks a bunch :)

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