Multiplying Monomials (Values and Variables) (Level 2)

This math topic focuses on the skill of multiplying monomial radical expressions and simplifying the results. It's part of a broader introduction to radical multiplication. The problems involve manipulating both numerical and variable components within radical signs. Each question presents a multiplication problem involving square roots of expressions that include both constants and powers of variables. Multiple-choice answers demonstrate different potential steps or missteps in simplification, illustrating how to accurately combine and simplify radical terms according to the properties of exponents and radicals.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Radicals - Multiplying Monomials (Values and Variables) Worksheet

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Math worksheet on 'Radicals - Multiplying Monomials (Values and Variables) (Level 2)'. Part of a broader unit on 'Radicals - Multiplication Intro' Learn online: app.mobius.academy/math/units/radicals_multiplication_intro/
1
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 32z times square root of 18z
a A LaTex expression showing 24zsquare root of z
b A LaTex expression showing 24square root of z
c A LaTex expression showing 24z
d A LaTex expression showing z
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 27{y to the power of 2 } times square root of 75{y to the power of 4 }
a A LaTex expression showing 45{y} to the power of 3 square root of y
b A LaTex expression showing 45{y} to the power of 3
c A LaTex expression showing 45{y} to the power of 4
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 48p times square root of 12{p to the power of 2 }
a A LaTex expression showing 24{p} to the power of 2
b A LaTex expression showing 24square root of p
c A LaTex expression showing 24psquare root of p
d A LaTex expression showing 24{p} to the power of 2 square root of p
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 20{n to the power of 4 } times square root of 80n
a A LaTex expression showing 40{n} to the power of 2 square root of n
b A LaTex expression showing {n} to the power of 2 square root of n
c A LaTex expression showing 40{n} to the power of 3
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 12p times square root of 48{p to the power of 3 }
a A LaTex expression showing 24{p} to the power of 2 square root of p
b A LaTex expression showing 24p
c A LaTex expression showing 24{p} to the power of 2
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 20 times square root of 45{z to the power of 4 }
a A LaTex expression showing 30{z} to the power of 2 square root of z
b A LaTex expression showing 30zsquare root of z
c A LaTex expression showing 30{z} to the power of 2
d A LaTex expression showing 30{z} to the power of 3
e A LaTex expression showing 30z
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 48{b to the power of 3 } times square root of 27b
a A LaTex expression showing 36{b} to the power of 2
b A LaTex expression showing 36b
c A LaTex expression showing 36{b} to the power of 2 square root of b