Multiplying Binomials (Values Only) (Level 3)

This math topic focuses on multiplying binomials involving radical expressions and simplifying the results. It falls under a broader introduction to radical multiplication, enhancing skills in handling square roots combined with integer and other square root terms. The problems require multiplying binomials, each containing radicals, and simplifying them to the simplest possible form with provided multiple-choice answers. Each question includes different binomial expressions featuring square roots combined with various constants, demonstrating the application of the distributive property (FOIL method) in radical equations.

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

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Radicals - Multiplying Binomials (Values Only) Worksheet

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Math worksheet on 'Radicals - Multiplying 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 - 2square root of 13) times (square root of 2 + 3square root of 7)
a A LaTex expression showing square root of 22 + 3square root of 77 - 2square root of 26 - 6square root of 91
b A LaTex expression showing square root of 22 + 3square root of 77 - 2square root of 26 - square root of 91
c A LaTex expression showing square root of 22 - 3square root of 77 - 2square root of 26 + 6square root of 91
d A LaTex expression showing 4 + 2square root of 26 - 6square root of 91
e A LaTex expression showing square root of 22 + 3square root of 77 - 2square root of 26 + square root of 91
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing (3square root of 2 + square root of 2) times (5square root of 2 + square root of 5)
a A LaTex expression showing 12 + square root of 10
b A LaTex expression showing 20 - square root of 10 + 1
c A LaTex expression showing 40 + 4square root of 10
d A LaTex expression showing 40 + 6square root of 10
e A LaTex expression showing 30 + 5square root of 2 + 3square root of 3 + square root of 10
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing (2square root of 5 + square root of 3) times (3square root of 5 + square root of 2)
a A LaTex expression showing 32 + 4square root of 15 + square root of 6
b A LaTex expression showing 30 + 3square root of 15 + 2square root of 10 + square root of 6
c A LaTex expression showing 30 + 3square root of 15 + 2square root of 10 + 2square root of 6
d A LaTex expression showing 30 + 3square root of 15 - 2square root of 10 + square root of 6
e A LaTex expression showing 4 + 3square root of 15 + 2square root of 10
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing (3square root of 7 + square root of 2) times (square root of 5 - 3square root of 2)
a A LaTex expression showing 4square root of 35 - 9square root of 14 + square root of 10 - 2
b A LaTex expression showing 3square root of 35 - 9square root of 14 + 4square root of 10 + 6
c A LaTex expression showing 3square root of 35 + square root of 14 + square root of 10 - 6
d A LaTex expression showing 4square root of 35 - 9square root of 14 - 5
e A LaTex expression showing 3square root of 35 - 9square root of 14 + square root of 10 - 6
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing (3square root of 7 - square root of 13) times (2square root of 2 + square root of 13)
a A LaTex expression showing 19 - 2square root of 26 + square root of 91
b A LaTex expression showing 6square root of 14 + 2square root of 26 - 23
c A LaTex expression showing 6square root of 14 - 15 + 3square root of 91
d A LaTex expression showing 6square root of 14 - 2square root of 26 + 3square root of 91 - 13
e A LaTex expression showing 3square root of 14 - 2square root of 2 + 3square root of 91 + 13
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing (2square root of 11 + square root of 13) times (2square root of 11 - square root of 2)
a A LaTex expression showing 44 + 2square root of 143 - square root of 22 - 5square root of 26
b A LaTex expression showing 13 + 2square root of 22 - square root of 26
c A LaTex expression showing 31 + 2square root of 143 - 2square root of 22
d A LaTex expression showing 44 + 3square root of 143 - 3square root of 22 - square root of 26
e A LaTex expression showing 44 + 2square root of 143 - 2square root of 22 - square root of 26
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing (2square root of 13 + square root of 3) times (square root of 5 - 2square root of 5)
a A LaTex expression showing -2square root of 65 - square root of 15
b A LaTex expression showing -2square root of 65 + 1 - square root of 15
c A LaTex expression showing 2square root of 65 - square root of 15 - 1
d A LaTex expression showing 6square root of 65 - 2 + 4square root of 15
e A LaTex expression showing -3square root of 65 + 1 - 2square root of 15