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Radicals - 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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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⋅(413−7)\sqrt{3} \cdot (4\sqrt{13} - \sqrt{7})

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 5 times (square root of 3 + 3square root of 11)
a A LaTex expression showing 1 + 3square root of 55
b A LaTex expression showing square root of 15 + 4square root of 55
c A LaTex expression showing square root of 15 + 5square root of 55
d A LaTex expression showing square root of 15 + 3
e A LaTex expression showing square root of 15 + 3square root of 55
f A LaTex expression showing square root of 15 + square root of 55
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 3 times (2square root of 7 - square root of 3)
a A LaTex expression showing 4square root of 21 - 3
b A LaTex expression showing 2square root of 21 - 6
c A LaTex expression showing 2square root of 21 - 1
d A LaTex expression showing 2square root of 21 - 3
e A LaTex expression showing 2square root of 21 - 12
f A LaTex expression showing square root of 21 - 3
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 11 times (square root of 2 + 5square root of 5)
a A LaTex expression showing 1 + 5square root of 55
b A LaTex expression showing 3square root of 22 + 5square root of 55
c A LaTex expression showing square root of 22 + 5square root of 55
d A LaTex expression showing 2square root of 22 + 5square root of 55
e A LaTex expression showing square root of 22 + square root of 55
f A LaTex expression showing square root of 22 + 5
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 3 times (2square root of 13 + square root of 13)
a A LaTex expression showing 4square root of 39
b A LaTex expression showing 2square root of 39 + 2
c A LaTex expression showing 2 + square root of 39
d A LaTex expression showing 3square root of 39
e A LaTex expression showing 2square root of 39 + 1
f A LaTex expression showing 2square root of 39
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 5 times (2square root of 13 + square root of 13)
a A LaTex expression showing 2square root of 65
b A LaTex expression showing 2square root of 65 + 1
c A LaTex expression showing 5square root of 65
d A LaTex expression showing 3square root of 65
e A LaTex expression showing 2 + square root of 65
f A LaTex expression showing 4square root of 65
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 13 times (2square root of 3 + square root of 2)
a A LaTex expression showing 2square root of 39 + 3square root of 26
b A LaTex expression showing 2square root of 39 + square root of 3
c A LaTex expression showing 2square root of 39 + square root of 26
d A LaTex expression showing 2square root of 39 + 1
e A LaTex expression showing 5square root of 39 + square root of 26
f A LaTex expression showing 2 + square root of 26
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 7 times (square root of 3 + 5square root of 13)
a A LaTex expression showing square root of 21 + 5
b A LaTex expression showing square root of 21 + 2square root of 91
c A LaTex expression showing square root of 21 + 5square root of 91
d A LaTex expression showing square root of 21 + square root of 91
e A LaTex expression showing 4square root of 21 + 5square root of 91
f A LaTex expression showing 3square root of 21 + 5square root of 91