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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Radicals - Multiplying Monomials with Binomials (Values Only)
1
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 5 times (4square root of 3 + square root of 3)
a A LaTex expression showing 8square root of 15
b A LaTex expression showing 5square root of 15
c A LaTex expression showing 4square root of 15 + square root of 3
d A LaTex expression showing 2square root of 15
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 11 times (2square root of 5 - square root of 2)
a A LaTex expression showing 2square root of 55 - square root of 3
b A LaTex expression showing square root of 55 - square root of 22
c A LaTex expression showing 2 - square root of 22
d A LaTex expression showing 2square root of 55 - square root of 22
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 5 times (square root of 11 - 4square root of 3)
a A LaTex expression showing 5square root of 55 - 4square root of 15
b A LaTex expression showing square root of 55 - 4square root of 15
c A LaTex expression showing square root of 55 - square root of 15
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 11 times (square root of 7 + 2square root of 7)
a A LaTex expression showing 5square root of 77
b A LaTex expression showing 3square root of 77
c A LaTex expression showing 1 + 2square root of 77
d A LaTex expression showing square root of 77 + 2
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 5 times (square root of 7 - 3square root of 11)
a A LaTex expression showing square root of 35 - square root of 55
b A LaTex expression showing 3square root of 35 - 3square root of 55
c A LaTex expression showing square root of 35 - 3
d A LaTex expression showing 2 - 3square root of 55
e A LaTex expression showing square root of 35 - 3square root of 55
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 13 times (square root of 5 + 2square root of 5)
a A LaTex expression showing 5square root of 65
b A LaTex expression showing square root of 65 + 2
c A LaTex expression showing 3square root of 65
d A LaTex expression showing 6square root of 65
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 7 times (square root of 7 - 5square root of 5)
a A LaTex expression showing 7 - 3square root of 35
b A LaTex expression showing 7 - 5square root of 35
c A LaTex expression showing 2
d A LaTex expression showing 1 - 5square root of 35
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 3 times (3square root of 2 - square root of 5)
a A LaTex expression showing 4square root of 6 - square root of 15
b A LaTex expression showing 3square root of 6 - square root of 15
c A LaTex expression showing 6 - square root of 15
d A LaTex expression showing 3square root of 6 - square root of 2