Multiplying Monomials with Binomials (Values Only) (Level 2)

This math topic focuses on the skill of multiplying monomials with binomials involving radicals, while only dealing with numerical values under the radicals. It teaches how to distribute a monomial across a binomial, involves simplifying expressions with square roots, and to correctly combine like terms. The exercises are structured as multiple-choice and provide several possible answers, challenging students to pick the correct simplified radical expression after performing the multiplication. This is part of a larger introductory unit on radical multiplication.

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 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 11 times (square root of 13 + square root of 5)
a A LaTex expression showing square root of 143 + 1
b A LaTex expression showing 2square root of 143 + square root of 55
c A LaTex expression showing square root of 143 + 5square root of 55
d A LaTex expression showing square root of 143 + square root of 55
e A LaTex expression showing 3square root of 143 + square root of 55
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 5 - square root of 7) times square root of 11
a A LaTex expression showing square root of 55 - square root of 77
b A LaTex expression showing square root of 55 - 5square root of 77
c A LaTex expression showing square root of 55 - 3square root of 77
d A LaTex expression showing 4square root of 55 - square root of 77
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 2 times (square root of 11 - square root of 5)
a A LaTex expression showing 4square root of 22 - square root of 10
b A LaTex expression showing square root of 22 - 3square root of 10
c A LaTex expression showing square root of 22 - 4square root of 10
d A LaTex expression showing square root of 22 - square root of 10
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 11 - square root of 2) times square root of 5
a A LaTex expression showing square root of 55 - 4square root of 10
b A LaTex expression showing square root of 55 - 1
c A LaTex expression showing square root of 55 - square root of 10
d A LaTex expression showing 1 - square root of 10
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 3 + square root of 13) times square root of 11
a A LaTex expression showing square root of 33 + square root of 143
b A LaTex expression showing square root of 33 + 1
c A LaTex expression showing 5square root of 33 + square root of 143
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 7 + square root of 2) times square root of 3
a A LaTex expression showing square root of 21 + 1
b A LaTex expression showing 1 + square root of 6
c A LaTex expression showing square root of 21 + square root of 6
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 5 + square root of 13) times square root of 2
a A LaTex expression showing 2 + square root of 26
b A LaTex expression showing square root of 10 + square root of 2
c A LaTex expression showing 2square root of 10 + square root of 26
d A LaTex expression showing square root of 10 + square root of 26