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Radical

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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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

3⋅(3−2)\sqrt{3} \cdot (\sqrt{3} - \sqrt{2})

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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 13 - square root of 3) times square root of 5
a A LaTex expression showing square root of 65 - 2square root of 15
b A LaTex expression showing square root of 65 - 3square root of 15
c A LaTex expression showing square root of 65 - square root of 3
d A LaTex expression showing 4square root of 65 - square root of 15
e A LaTex expression showing square root of 65 - square root of 15
f A LaTex expression showing 1 - square root of 15
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 5 times (square root of 2 + square root of 5)
a A LaTex expression showing 6
b A LaTex expression showing 3square root of 10 + 5
c A LaTex expression showing 4square root of 10 + 5
d A LaTex expression showing square root of 10 + 5
e A LaTex expression showing square root of 10 + 25
f A LaTex expression showing square root of 10 + 20
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 3 + square root of 7) times square root of 5
a A LaTex expression showing 2square root of 15 + square root of 35
b A LaTex expression showing square root of 15 + 3square root of 35
c A LaTex expression showing square root of 15 + 1
d A LaTex expression showing square root of 15 + square root of 35
e A LaTex expression showing 3square root of 15 + square root of 35
f A LaTex expression showing square root of 15 + 2square root of 35
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 3 - square root of 2) times square root of 11
a A LaTex expression showing square root of 33 - 1
b A LaTex expression showing square root of 33 - square root of 22
c A LaTex expression showing square root of 33 - 3square root of 22
d A LaTex expression showing 3square root of 33 - square root of 22
e A LaTex expression showing 1 - square root of 22
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 3 times (square root of 7 + square root of 3)
a A LaTex expression showing square root of 21 + 3
b A LaTex expression showing square root of 2 + 3
c A LaTex expression showing square root of 21 + 9
d A LaTex expression showing 4
e A LaTex expression showing 3square root of 21 + 3
f A LaTex expression showing square root of 21 + 12
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 11 times (square root of 3 + square root of 5)
a A LaTex expression showing 2square root of 33 + square root of 55
b A LaTex expression showing square root of 33 + 2square root of 55
c A LaTex expression showing 1 + square root of 55
d A LaTex expression showing square root of 33 + 1
e A LaTex expression showing 5square root of 33 + square root of 55
f A LaTex expression showing square root of 33 + square root of 55
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 13 times (square root of 13 + square root of 13)
a A LaTex expression showing 26
b A LaTex expression showing 65
c A LaTex expression showing 78
d A LaTex expression showing 14
e A LaTex expression showing 52