Radicals - Divide Binomials by Monomials (Values and Variables) (Level 4)

Math worksheet on 'Radicals - Divide Binomials by Monomials (Values and Variables) (Level 4)'. Part of a broader unit on 'Radicals - Division Intro' Learn online: app.mobius.academy/math/units/radicals_division_intro/

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{msquare root of 11 + 4{b} to the power of 2 square root of 3}{3{m} to the power of 2 square root of 3}$

a $A LaTex expression showing \frac{m + 12{b} to the power of 2 }{9m}$

b $A LaTex expression showing \frac{{m} to the power of 2 square root of 33 + 12{b} to the power of 2 }{9{m} to the power of 3 }$

c $A LaTex expression showing \frac{square root of 33 + 12m{b} to the power of 2 }{3m}$

d $A LaTex expression showing \frac{msquare root of 33 + 12{m} to the power of -1 {b} to the power of 2 }{9{m} to the power of 2 }$

e $A LaTex expression showing \frac{msquare root of 33 + 12}{{m} to the power of 2 }$

f $A LaTex expression showing \frac{msquare root of 33 + 12{b} to the power of 2 }{9{m} to the power of 2 }$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{4cpsquare root of 11c - csquare root of 3p}{3c{p} to the power of 2 square root of 2c}$

a $A LaTex expression showing \frac{4cpsquare root of 22 + 3square root of 6cp}{5c{p} to the power of 2 }$

b $A LaTex expression showing \frac{4csquare root of 22 - square root of 6cp}{4c{p} to the power of 2 }$

c $A LaTex expression showing \frac{cpsquare root of 22 + square root of 6cp}{6cp}$

d $A LaTex expression showing \frac{4{c} to the power of 3 psquare root of 22 - square root of 6cp}{c{p} to the power of 2 }$

e $A LaTex expression showing \frac{4cpsquare root of 22 - square root of 6cp}{6c{p} to the power of 2 }$

f $A LaTex expression showing \frac{4cpsquare root of 22 - square root of 6cp}{c{p} to the power of 2 }$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{3{d} to the power of 2 {p} to the power of 2 square root of 13 - psquare root of 3}{3{d} to the power of 2 psquare root of 3}$

a $A LaTex expression showing \frac{{d} to the power of 2 psquare root of 3 - 1}{3{d} to the power of 2 {p} to the power of -1 }$

b $A LaTex expression showing \frac{{d} to the power of 2 psquare root of 39 - 2}{{d} to the power of 2 }$

c $A LaTex expression showing \frac{{d} to the power of 2 psquare root of 39 - 1}{3{d} to the power of 2 p}$

d $A LaTex expression showing \frac{3{d} to the power of 2 psquare root of 13 + square root of 3}{9{d} to the power of 2 }$

e $A LaTex expression showing \frac{{d} to the power of 2 p + 1}{{d} to the power of 2 }$

f $A LaTex expression showing \frac{{d} to the power of 2 psquare root of 39 - 1}{3{d} to the power of 2 }$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{4square root of 5r + rcsquare root of 11r}{3square root of 3}$

a $A LaTex expression showing \frac{4square root of 15r + rcsquare root of 33r}{9}$

A LaTex expression showing 4square root of 15 + rcsquare root of 33r

c $A LaTex expression showing \frac{4square root of 30r + rcsquare root of 66{r to the power of -1 }}{18}$

A LaTex expression showing 4square root of 3r + rcsquare root of 33r

e $A LaTex expression showing \frac{4square root of 15r + {r} to the power of 2 csquare root of 33r}{9}$

A LaTex expression showing 4square root of 15r + rcsquare root of 33{r to the power of -1 }

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{{x} to the power of 2 ysquare root of 2 + 2ysquare root of 5xy}{3{x} to the power of 2 {y} to the power of 2 square root of 7}$

a $A LaTex expression showing \frac{xsquare root of 14 + 2square root of 35y}{21x{y} to the power of -1 }$

b $A LaTex expression showing \frac{xsquare root of 14 + 2square root of 35y}{21xy}$

c $A LaTex expression showing \frac{{x} to the power of 2 square root of 14 + 2ysquare root of 35x}{21{x} to the power of 2 }$

d $A LaTex expression showing \frac{xsquare root of 14 - 2square root of 35xy}{21y}$

e $A LaTex expression showing \frac{{x} to the power of 2 square root of 14 + 2square root of 35xy}{21{x} to the power of 2 y}$

f $A LaTex expression showing \frac{{x} to the power of 2 square root of 14 + square root of 35xy}{21{x} to the power of 2 y}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{xsquare root of 5 + 2x{z} to the power of 2 square root of 2x}{3zsquare root of 7z}$

a $A LaTex expression showing \frac{square root of 35z + 2{z} to the power of 2 xsquare root of 14zx}{21}$

b $A LaTex expression showing \frac{xsquare root of 35z - 2{z} to the power of 3 xsquare root of 14x}{21{z} to the power of 3 }$

c $A LaTex expression showing \frac{xsquare root of 35 + 2{z} to the power of 2 xsquare root of 14zx}{21{z} to the power of 4 }$

d $A LaTex expression showing \frac{xsquare root of 35{z to the power of -1 } + 2{z} to the power of 2 xsquare root of 14zx}{21}$

e $A LaTex expression showing \frac{{x} to the power of 3 square root of 35z - 2{z} to the power of 2 xsquare root of 14zx}{21{z} to the power of 4 }$

f $A LaTex expression showing \frac{xsquare root of 35z + 2{z} to the power of 2 xsquare root of 14zx}{21{z} to the power of 2 }$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{2zsquare root of 11 - nsquare root of 5nz}{3zsquare root of 7nz}$

a $A LaTex expression showing \frac{2square root of 77nz + nsquare root of 35}{42z}$

b $A LaTex expression showing \frac{2square root of 77nz + z{n} to the power of 2 square root of 35}{21z{n} to the power of 3 }$

c $A LaTex expression showing \frac{3square root of 77nz - {n} to the power of 2 square root of 35}{21zn}$

d $A LaTex expression showing \frac{2square root of 77nz - {n} to the power of 2 square root of 35}{zn}$

e $A LaTex expression showing \frac{2square root of 77z - {n} to the power of 2 square root of 35}{zn}$

f $A LaTex expression showing \frac{2square root of 77nz - {n} to the power of 2 square root of 35}{21zn}$

Radical

Practice:

Divide Binomials by Monomials (Values and Variables)

Radicals - Divide Binomials by Monomials (Values and Variables) Worksheet