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Radicals - Multiplying Monomials with Binomials (Values Only) (Level 1)

This math topic focuses on multiplying monomials with binomials involving radicals and simplifying the outcomes. Specifically, the problems involve cases of multiplying expressions that have both radicals and integers combined, then applying methods to simplify these expressions to the simplest form. Each question provides multiple choice answers to match the correctly simplified form of the radical expressions. This is an introductory level to understanding the manipulation and interaction between monomials and binomials containing square roots.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Multiplying Monomials with Binomials (Values Only)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Multiply the radical expressions and simplify the answer

(7−4)⋅13(\sqrt{7} - 4) \cdot \sqrt{13}

Radicals - Multiplying Monomials with Binomials (Values Only) Worksheet

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Math worksheet on 'Radicals - Multiplying Monomials with Binomials (Values Only) (Level 1)'. 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 (3 + square root of 13)
a A LaTex expression showing 3square root of 11 + 2square root of 143
b A LaTex expression showing 3square root of 3 + square root of 143
c A LaTex expression showing 3 + square root of 143
d A LaTex expression showing 3square root of 11 + square root of 143
e A LaTex expression showing square root of 11 + square root of 143
f A LaTex expression showing 3square root of 11 + 1
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 11 times (square root of 13 + 2)
a A LaTex expression showing square root of 143 + 5square root of 11
b A LaTex expression showing 1 + 2square root of 11
c A LaTex expression showing square root of 143 + 2
d A LaTex expression showing 4square root of 143 + 2square root of 11
e A LaTex expression showing square root of 143 + square root of 11
f A LaTex expression showing square root of 143 + 2square root of 11
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 11 times (square root of 3 + 5)
a A LaTex expression showing 2square root of 33 + 5square root of 11
b A LaTex expression showing 1 + 5square root of 11
c A LaTex expression showing square root of 33 + 5square root of 11
d A LaTex expression showing square root of 33 + square root of 11
e A LaTex expression showing square root of 33 + 5
f A LaTex expression showing square root of 2 + 5square root of 11
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 13 times (square root of 5 + 3)
a A LaTex expression showing 1 + 3square root of 13
b A LaTex expression showing square root of 65 + square root of 13
c A LaTex expression showing square root of 65 + 2square root of 13
d A LaTex expression showing square root of 65 + 3
e A LaTex expression showing square root of 65 + 3square root of 13
f A LaTex expression showing 4square root of 65 + 3square root of 13
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing (2 - square root of 3) times square root of 7
a A LaTex expression showing 2square root of 7 - 4square root of 21
b A LaTex expression showing 2square root of 7 - 1
c A LaTex expression showing 2square root of 7 - square root of 21
d A LaTex expression showing square root of 7 - square root of 21
e A LaTex expression showing 2square root of 7 - 2square root of 21
f A LaTex expression showing 2 - square root of 21
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing (2 - square root of 7) times square root of 13
a A LaTex expression showing 2square root of 13 - 1
b A LaTex expression showing 4square root of 13 - square root of 91
c A LaTex expression showing 2square root of 13 - square root of 91
d A LaTex expression showing 2square root of 13 - 5square root of 91
e A LaTex expression showing square root of 13 - square root of 91
f A LaTex expression showing 5square root of 13 - square root of 91
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 7 times (4 - square root of 2)
a A LaTex expression showing 4square root of 7 - 4square root of 14
b A LaTex expression showing 4square root of 7 - 5square root of 14
c A LaTex expression showing 4square root of 7 - square root of 14
d A LaTex expression showing square root of 7 - square root of 14
e A LaTex expression showing 5square root of 7 - square root of 14
f A LaTex expression showing 4 - square root of 14