Multiplying Monomials with Binomials (Values and Variables) (Level 2)

This math topic focuses on practicing the multiplication of radicals, specifically multiplying monomials with binomials that involve both values and variables. The content is part of a broader introduction to multiplying radical expressions. Learners are presented with problems where they need to multiply different radical expressions and simplify the results, involving steps like distributing the terms and simplifying using radical rules. Various problem sets challenge learners to multiply and simplify expressions such as square roots that include numerical coefficients and variable terms represented in radical form.

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 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 3n times (nsquare root of 7 + {n} to the power of 2 square root of 11)
a A LaTex expression showing nsquare root of 21n + {n} to the power of 3 square root of 33n
b A LaTex expression showing nsquare root of 21n + {n} to the power of 3 square root of 33
c A LaTex expression showing {n} to the power of 3 square root of 21n + {n} to the power of 2 square root of 33n
d A LaTex expression showing nsquare root of 21n + {n} to the power of 2 square root of 33n
e A LaTex expression showing nsquare root of 21n + square root of 33n
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 13p + square root of 2p) times square root of 5
a A LaTex expression showing square root of 65p + psquare root of 10p
b A LaTex expression showing square root of p + square root of 10p
c A LaTex expression showing square root of 65p + square root of 10{p to the power of -1 }
d A LaTex expression showing square root of 65{p to the power of -1 } + square root of 10p
e A LaTex expression showing square root of 65p + square root of 10p
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing ({y} to the power of 2 square root of 3 + square root of 7) times square root of 11
a A LaTex expression showing {y} to the power of 2 square root of 33 + 3square root of 77
b A LaTex expression showing {y} to the power of 2 square root of 33 + square root of 77
c A LaTex expression showing {y} to the power of 2 square root of 33 + 1
d A LaTex expression showing {y} to the power of 2 + square root of 77
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 5 times (msquare root of 13m + square root of 13)
a A LaTex expression showing {m} to the power of 2 square root of 65 + square root of 65
b A LaTex expression showing msquare root of 65m + square root of 65
c A LaTex expression showing msquare root of 65m + 1
d A LaTex expression showing msquare root of 65m + 2square root of 65
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing ({b} to the power of 2 square root of 13 + square root of 13b) times bsquare root of 13b
a A LaTex expression showing 13bsquare root of b + 13{b} to the power of 2
b A LaTex expression showing 13{b} to the power of 3 square root of b + 13{b} to the power of 2
c A LaTex expression showing 13{b} to the power of 4 square root of b + 13{b} to the power of 2
d A LaTex expression showing 13{b} to the power of 3 square root of b + 13bsquare root of b
e A LaTex expression showing 13{b} to the power of 3 square root of b + 39{b} to the power of 2
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing ({m} to the power of 2 square root of 7 + msquare root of 7) times {m} to the power of 2 square root of 11
a A LaTex expression showing {m} to the power of 4 square root of 77 + {m} to the power of 3 square root of 77
b A LaTex expression showing {m} to the power of 2 square root of 77 + {m} to the power of 3 square root of 77
c A LaTex expression showing {m} to the power of 6 square root of 77 + {m} to the power of 3 square root of 77
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing nsquare root of 3n times (square root of 7 + square root of 5)
a A LaTex expression showing nsquare root of 21n + nsquare root of 15n
b A LaTex expression showing {n} to the power of 3 square root of 21n + nsquare root of 15n
c A LaTex expression showing nsquare root of 21n + nsquare root of 15
d A LaTex expression showing nsquare root of 21 + nsquare root of 15n