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Radicals - 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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Multiplying Monomials (Values and Variables)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Multiply the radical expressions and simplify the answer

18c⋅32c\sqrt{18c} \cdot \sqrt{32c}

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 27p times square root of 75p
a A LaTex expression showing 45square root of p
b A LaTex expression showing p
c A LaTex expression showing 45{p} to the power of 2
d A LaTex expression showing 45
e A LaTex expression showing 45p
f A LaTex expression showing 45psquare root of p
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 28 times square root of 112
a A LaTex expression showing 56
b A LaTex expression showing 112
c A LaTex expression showing 224
d A LaTex expression showing 280
e A LaTex expression showing 1
f A LaTex expression showing 168
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 8c times square root of 32{c to the power of 4 }
a A LaTex expression showing 16{c} to the power of 2 square root of c
b A LaTex expression showing {c} to the power of 2 square root of c
c A LaTex expression showing 80{c} to the power of 2 square root of c
d A LaTex expression showing 16{c} to the power of 3 square root of c
e A LaTex expression showing 16{c} to the power of 3
f A LaTex expression showing 16csquare root of c
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 44{p to the power of 4 } times square root of 99{p to the power of 2 }
a A LaTex expression showing 66{p} to the power of 3
b A LaTex expression showing 66{p} to the power of 4
c A LaTex expression showing {p} to the power of 3
d A LaTex expression showing 132{p} to the power of 3
e A LaTex expression showing 66{p} to the power of 3 square root of p
f A LaTex expression showing 66{p} to the power of 2
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 50{d to the power of 3 } times square root of 8
a A LaTex expression showing 20{d} to the power of 2 square root of d
b A LaTex expression showing 20d
c A LaTex expression showing 20dsquare root of d
d A LaTex expression showing 20{d} to the power of 2
e A LaTex expression showing 80dsquare root of d
f A LaTex expression showing dsquare root of d
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 99{x to the power of 2 } times square root of 44{x to the power of 2 }
a A LaTex expression showing 66{x} to the power of 3
b A LaTex expression showing 66{x} to the power of 2
c A LaTex expression showing 264{x} to the power of 2
d A LaTex expression showing 66x
e A LaTex expression showing 66xsquare root of x
f A LaTex expression showing 330{x} to the power of 2
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 20{m to the power of 2 } times square root of 125{m to the power of 4 }
a A LaTex expression showing 50{m} to the power of 3 square root of m
b A LaTex expression showing 250{m} to the power of 3
c A LaTex expression showing 50{m} to the power of 4
d A LaTex expression showing 50{m} to the power of 2 square root of m
e A LaTex expression showing 50{m} to the power of 2
f A LaTex expression showing 50{m} to the power of 3