Multiplying Monomials with Binomials (Values Only) (Level 3)

This math topic focuses on multiplying monomials with binomials involving radicals and simplifying the resulting expressions. It is part of an introduction to radical multiplication. Each question presents a pair of radical expressions that need to be multiplied together, followed by multiple answers where students must identify the correct simplified form. This set of problems helps students master the manipulation of square roots and their properties during multiplication. By working through these exercises, students enhance their ability to handle algebraic expressions 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 3)'. 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 (2square root of 5 - square root of 3)
a A LaTex expression showing 2square root of 55 - square root of 33
b A LaTex expression showing 5square root of 55 - square root of 33
c A LaTex expression showing 2square root of 55 - 1
d A LaTex expression showing 2square root of 55 - 2
e A LaTex expression showing 2square root of 55 - 2square root of 33
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 13 - 2square root of 11) times square root of 11
a A LaTex expression showing square root of 143 - 33
b A LaTex expression showing square root of 143 - 44
c A LaTex expression showing square root of 143 - 11
d A LaTex expression showing square root of 143 - 22
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 7 times (2square root of 5 + square root of 7)
a A LaTex expression showing 3square root of 35 + 7
b A LaTex expression showing 2square root of 3 + 7
c A LaTex expression showing 2square root of 35 + 7
d A LaTex expression showing square root of 35 + 7
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 11 times (square root of 13 + 3square root of 5)
a A LaTex expression showing square root of 143 + 3square root of 55
b A LaTex expression showing 4square root of 143 + 3square root of 55
c A LaTex expression showing square root of 143 + square root of 55
d A LaTex expression showing square root of 143 + 3
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 13 times (square root of 13 + 4square root of 13)
a A LaTex expression showing 52
b A LaTex expression showing 78
c A LaTex expression showing 65
d A LaTex expression showing 26
e A LaTex expression showing 53
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing (5square root of 7 - square root of 11) times square root of 5
a A LaTex expression showing 4square root of 35 - square root of 55
b A LaTex expression showing 5square root of 35 - 1
c A LaTex expression showing 5square root of 35 - square root of 55
d A LaTex expression showing square root of 35 - square root of 55
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 2 times (2square root of 13 - square root of 13)
a A LaTex expression showing 3square root of 26
b A LaTex expression showing square root of 26
c A LaTex expression showing -3square root of 26