So Radical

Algebra Level 2

Simplify:

$\dfrac { \sqrt[ 3 ]{ { 49x }^{ 5 }{ y }^{ 10 }{ z }^{ 3 } } }{ \sqrt[ 3 ]{ \dfrac { 1 }{ 7x{ y }^{ 2 } } } }$

{ 7x }^{ 2 }{ y }^{ 4 }z

{ 6x }^{ 2 }{ y }^{ 3 }z

{ 7x }^{ 2 }{ y }^{ 3 }z

{ 7x }^{ 3 }{ y }^{ 4 }z

1 solution

Syed Baqir
Sep 19, 2015

The above question simplifies into:

$\huge (49 x^{5}y^{10}z^{3} \huge \color{#D61F06}{7xy^{2}} )^{ \frac {1}{3} }$

$\longrightarrow \huge \ (343 x^{6}y^{12}z^{3} )^{\frac {1}{3} }$

Hence :

$(343)^{ \frac {1}{3} } = 7 \\ x^{ \frac {6}{3} } = x^{2} Similarly : \ we\ will\ get\ y^{4} and\ z$

Very good, nice solution.

Angela Fajardo - 5 years, 8 months ago

Thanx :D

$\ddot \smile$

Syed Baqir - 5 years, 8 months ago