Multiplying Monomials with Binomials (Values and Variables) (Level 1)

This math topic focuses on the skills of multiplying monomials with binomials involving radical expressions, and simplifying the results. It is designed to help learners grasp the basics of radicals, particularly through the application of multiplication. The problems involve multiple expressions with variables and require simplifying the products using properties of radicals and exponent rules. Each question has multiple choice answers, helping users to evaluate their understanding of the mathematical operations and simplifications involved with radicals.

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

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Radicals - Multiplying Monomials with Binomials (Values and Variables) Worksheet

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Math worksheet on 'Radicals - Multiplying Monomials with Binomials (Values and Variables) (Level 1)'. 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 (5zsquare root of z + {z} to the power of 2 square root of 2) times square root of 11z
a A LaTex expression showing 5{z} to the power of 4 square root of 11 + {z} to the power of 2 square root of 22z
b A LaTex expression showing 5{z} to the power of 2 square root of 3 + {z} to the power of 2 square root of 22z
c A LaTex expression showing 5{z} to the power of 3 square root of 11 + {z} to the power of 2 square root of 22z
d A LaTex expression showing 5{z} to the power of 2 square root of 11 + {z} to the power of 2 square root of 22z
e A LaTex expression showing 5{z} to the power of 2 square root of 11 + 5{z} to the power of 2 square root of 22z
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 5 times (5d + dsquare root of 11)
a A LaTex expression showing 5dsquare root of 5 + dsquare root of 55
b A LaTex expression showing 5{d} to the power of -1 square root of 5 + dsquare root of 55
c A LaTex expression showing 5dsquare root of 5 + {d} to the power of -1 square root of 55
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing (3m + square root of 11) times square root of 7m
a A LaTex expression showing 3msquare root of 7m + square root of 77m
b A LaTex expression showing 3msquare root of 7m + 4square root of 77m
c A LaTex expression showing 3msquare root of 7{m to the power of -1 } + square root of 77m
d A LaTex expression showing 3msquare root of 7 + square root of 77m
e A LaTex expression showing 3msquare root of 7m + square root of 77
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 2 + 5square root of m) times msquare root of 2
a A LaTex expression showing 2m + 5msquare root of 2m
b A LaTex expression showing 2{m} to the power of 3 + 5msquare root of 2m
c A LaTex expression showing 2m + 5msquare root of 2{m to the power of -1 }
d A LaTex expression showing 6m + 5msquare root of 2m
e A LaTex expression showing 2m + 5{m} to the power of -1 square root of 2m
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing (4square root of d + square root of 3) times dsquare root of 13d
a A LaTex expression showing 4{d} to the power of 2 square root of 13 + dsquare root of 39d
b A LaTex expression showing 4dsquare root of 13d + dsquare root of 39d
c A LaTex expression showing 4{d} to the power of 2 square root of 13 + dsquare root of 39{d to the power of -1 }
d A LaTex expression showing 4{d} to the power of 2 square root of 13 + dsquare root of d
e A LaTex expression showing 4{d} to the power of 2 square root of 13 + 2dsquare root of 39d
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 3m times (msquare root of 3m - 2msquare root of m)
a A LaTex expression showing 3{m} to the power of 2 - 2{m} to the power of 2 square root of 3
b A LaTex expression showing 3{m} to the power of 4 - 2{m} to the power of 2 square root of 3
c A LaTex expression showing 3{m} to the power of 2 square root of m - 2{m} to the power of 2 square root of 3
d A LaTex expression showing 3{m} to the power of 2 - 2{m} to the power of 3 square root of 3
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 7c times (5 + square root of 5)
a A LaTex expression showing 5square root of 7c + csquare root of 35c
b A LaTex expression showing 5square root of 7c + square root of 2c
c A LaTex expression showing 5square root of 7c + square root of 35c
d A LaTex expression showing 5square root of 7c + 4square root of 35c
e A LaTex expression showing 5square root of 7c + square root of 35