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

This math topic focuses on multiplying binomials involving radicals and simplifying the results. It is part of an introductory unit on radical multiplication. Each problem presents a pair of binomials containing radicals and constants, requiring the application of distributive properties (FOIL method) to multiply and simplify expressions. The problems vary in complexity and include several possible answers provided as multiple choices. This topic serves to deepen understanding of radical expressions and their interactions in algebraic operations.

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

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Multiplying 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

(4+7)⋅(7−3)(4 + \sqrt{7}) \cdot (\sqrt{7} - 3)

Radicals - Multiplying Binomials (Values Only) Worksheet

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Math worksheet on 'Radicals - Multiplying 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 + 5) times (square root of 7 + 3)
a A LaTex expression showing square root of 77 + 3square root of 11 + 5square root of 7 + 15
b A LaTex expression showing -4 + 3square root of 11 - 15
c A LaTex expression showing 3square root of 77 - 3square root of 11 + square root of 7 + 15
d A LaTex expression showing square root of 77 + square root of 2 + 5square root of 7 + 15
e A LaTex expression showing square root of 77 + 18 + square root of 7
f A LaTex expression showing 16 + 3square root of 11 - 5square root of 7
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing (2 + square root of 5) times (4 - square root of 2)
a A LaTex expression showing 5 - 4square root of 5 - 5square root of 2 + square root of 10
b A LaTex expression showing 8 - 5square root of 5 - 2square root of 2 - 3square root of 10
c A LaTex expression showing 8 + 4square root of 5 - 2square root of 2 - square root of 10
d A LaTex expression showing 5 + 4square root of 5 + 2square root of 2 - square root of 10
e A LaTex expression showing 8 + square root of 5 - 2square root of 2 - square root of 10
f A LaTex expression showing 12 + 2square root of 2 - square root of 3
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing (5 - square root of 5) times (square root of 5 - 2)
a A LaTex expression showing 3square root of 5 - 4
b A LaTex expression showing 5square root of 2 - 5 + square root of 5
c A LaTex expression showing 5square root of 5 - 1 - 2
d A LaTex expression showing 7square root of 5 - 15
e A LaTex expression showing 3square root of 5 + 5
f A LaTex expression showing 3square root of 5 - 11
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 13 - 4) times (square root of 3 + 4)
a A LaTex expression showing square root of 39 + 4square root of 13 + 4square root of 3 - 1
b A LaTex expression showing square root of 39 + 2square root of 13 - 4square root of 3 - 1
c A LaTex expression showing square root of 39 + square root of 13 - 4square root of 3 - 16
d A LaTex expression showing 4square root of 39 + square root of 13 - 4square root of 3 + 16
e A LaTex expression showing 4square root of 39 + 4square root of 13 - 4square root of 3 - 16
f A LaTex expression showing square root of 39 + 4square root of 13 - 4square root of 3 - 16
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing (4 + square root of 7) times (square root of 7 - 3)
a A LaTex expression showing square root of 7 - 5
b A LaTex expression showing 2square root of 7 + 5
c A LaTex expression showing 3square root of 7 - 5
d A LaTex expression showing 19
e A LaTex expression showing -5
f A LaTex expression showing 3square root of 7 - 40
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 11 - 3) times (square root of 13 - 3)
a A LaTex expression showing 10 - 3square root of 11 - 3square root of 13
b A LaTex expression showing 14 - 3square root of 11 + 3square root of 13
c A LaTex expression showing square root of 143 - 2square root of 11 - 3square root of 13 + 9
d A LaTex expression showing square root of 143 - 3square root of 11 - 3square root of 13 + 1
e A LaTex expression showing square root of 143 - 3square root of 11 - 3square root of 13 + 9
f A LaTex expression showing 10 + 3square root of 11 - 3square root of 13
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing (4 + square root of 2) times (square root of 5 - 3)
a A LaTex expression showing 4square root of 5 - 12 + square root of 10 + square root of 2
b A LaTex expression showing 3square root of 5 - 2 - square root of 10 - 3square root of 2
c A LaTex expression showing 16 + square root of 10 - 3square root of 2
d A LaTex expression showing 4square root of 5 - 12 + square root of 10 - 3square root of 2
e A LaTex expression showing 4square root of 5 - 11 + 3square root of 2
f A LaTex expression showing 4square root of 5 - 1 + 4square root of 10 - 3square root of 2