Question

Simplest form of quotient radicals

Answer 1

\[\large \frac{ \sqrt{3x^{12}y^{10}} }{ \sqrt{5x^{6}y^{3}} }\]

Answer 2

@campbell_st

Answer 3

well its simply

\[\sqrt{\frac{3x^{12}y^{10}}{5x^6y^3}}\]

subtract the powers.... to simplify

Answer 4

\[\large \frac{x^m}{x^n} = x^{m-n}\]

Answer 5

x^6
and
y^7

Answer 6

so you'll end up with

\[\sqrt{\frac{3x^6 y^7}{6}} = \frac{\sqrt{3(x^3)^2 (y^3)^2 \times y}}{\sqrt{6}} = \frac{x^3y^3\sqrt{3y}}{\sqrt{6}}\]

that's my best guess

Answer 7

oops denominator should be 5

Answer 8

Hmm.
Well here's my choices

Answer 9

can you check your question is is 3x^12y^10

or 15x^12y^10

Answer 10

It's a 3 not a 15.

Answer 11

ok... they have rationalised the denominator... which means that took

\[\frac{x^3 y^3 \sqrt{3y}}{\sqrt{5}} \times \frac{\sqrt{5}} {\sqrt{5}} = \frac{x^3y^3\sqrt{15y}}{5}\]

Answer 12

That was right thank you!!