Multiplying Monomials with Binomials (Values Only) (Level 4)

This math topic focuses on multiplying monomials with binomials involving radical expressions and simplifying the results. It hones skills in handling various radicals, including square roots and cube roots, performing mathematical operations between monomial and binomial terms containing these radicals. Problems require the multiplication of these expressions followed by simplification, typically involving multi-step arithmetic operations to combine like terms and simplify under root terms. This topic is a foundational step in learning more complex operations involving 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 Only) Worksheet

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Math worksheet on 'Radicals - Multiplying Monomials with Binomials (Values Only) (Level 4)'. 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 11 + 4square root of 5) times 3square root of 3
a A LaTex expression showing 3square root of 33 + square root of 15
b A LaTex expression showing square root of 33 + 12square root of 15
c A LaTex expression showing 6 + 12square root of 15
d A LaTex expression showing 3square root of 33 + 12square root of 15
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing 23-th root of 2 times (23-th root of 7 - 3-th root of 5)
a A LaTex expression showing 43-th root of 14 - 23-th root of 10
b A LaTex expression showing 43-th root of 14 - 2
c A LaTex expression showing 43-th root of 4 - 23-th root of 10
d A LaTex expression showing 43-th root of 14 - 53-th root of 10
e A LaTex expression showing 3-th root of 14 - 23-th root of 10
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 2 + 5square root of 3) times 2square root of 3
a A LaTex expression showing square root of 6 + 30
b A LaTex expression showing 2square root of 6 + 10
c A LaTex expression showing 2square root of 6 + 30
d A LaTex expression showing 2square root of 6 + 3
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing 33-th root of 3 times (3-th root of 5 + 23-th root of 7)
a A LaTex expression showing 3 + 63-th root of 21
b A LaTex expression showing 33-th root of 15 + 63-th root of 21
c A LaTex expression showing 33-th root of 15 + 3-th root of 21
d A LaTex expression showing 33-th root of 3 + 63-th root of 21
e A LaTex expression showing 33-th root of 15 + 6
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing (5square root of 5 + square root of 5) times 2square root of 3
a A LaTex expression showing 10 + 2square root of 15
b A LaTex expression showing 12square root of 15
c A LaTex expression showing 13square root of 15
d A LaTex expression showing 14square root of 15
e A LaTex expression showing 11square root of 15
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing 5square root of 11 times (2square root of 2 - square root of 2)
a A LaTex expression showing 5square root of 22
b A LaTex expression showing 9square root of 22
c A LaTex expression showing 20 - 5square root of 22
d A LaTex expression showing 6square root of 22
e A LaTex expression showing -4square root of 22
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing (3square root of 11 + square root of 7) times 4square root of 3
a A LaTex expression showing 12square root of 33 + 4square root of 21
b A LaTex expression showing 12square root of 33 + square root of 21
c A LaTex expression showing square root of 33 + 4square root of 21
d A LaTex expression showing 12 + 4square root of 21