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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Radicals - Multiplying Binomials (Values Only) Worksheet

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Radicals - Multiplying Binomials (Values Only)
1
Multiply the radical expressions and simplify the answer
A LaTex expression showing (2 + square root of 7) times (square root of 2 + 2)
a A LaTex expression showing square root of 2 - square root of 14 + 4 + square root of 7
b A LaTex expression showing square root of 14 - 2square root of 7
c A LaTex expression showing 3 + square root of 14 + 2square root of 7
d A LaTex expression showing 2square root of 2 + square root of 14 - 4 + square root of 7
e A LaTex expression showing 2square root of 2 + square root of 14 + 4 + 2square root of 7
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing (5 - square root of 5) times (square root of 3 + 5)
a A LaTex expression showing 5square root of 3 + 2square root of 15 + 25 - 5square root of 5
b A LaTex expression showing 3square root of 3 - square root of 15 + 25 + 2square root of 5
c A LaTex expression showing square root of 3 - square root of 15 + 1 - 5square root of 5
d A LaTex expression showing 5square root of 3 - 5square root of 15 + 50 - 5square root of 5
e A LaTex expression showing 5square root of 3 - square root of 15 + 25 - 5square root of 5
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing (5 + square root of 5) times (square root of 11 + 2)
a A LaTex expression showing 5square root of 11 + square root of 55 + 10 + 2square root of 5
b A LaTex expression showing 5square root of 3 - square root of 55 + 10 + square root of 5
c A LaTex expression showing 5square root of 11 - square root of 55 + 5 + square root of 5
d A LaTex expression showing square root of 11 + square root of 55 + 10 - 2square root of 3
e A LaTex expression showing square root of 11 + square root of 55 + 6
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing (4 + square root of 5) times (square root of 13 + 5)
a A LaTex expression showing 4square root of 13 + 21 + square root of 65
b A LaTex expression showing 4square root of 13 + 21 + square root of 5
c A LaTex expression showing square root of 13 + 1 + square root of 65 + 5square root of 5
d A LaTex expression showing 4square root of 13 + 1 + square root of 65 + 5square root of 5
e A LaTex expression showing 4square root of 13 + 20 + square root of 65 + 5square root of 5
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 11 - 3) times (square root of 11 - 4)
a A LaTex expression showing 16 - square root of 11
b A LaTex expression showing 13 + square root of 11
c A LaTex expression showing 15 - 7square root of 11
d A LaTex expression showing 23 - 7square root of 11
e A LaTex expression showing 23 + 3square root of 11
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing (2 - square root of 5) times (5 + square root of 13)
a A LaTex expression showing 2square root of 13 - 3square root of 65
b A LaTex expression showing 10 - 5square root of 5 + 2square root of 13 - square root of 65
c A LaTex expression showing 1 - 5square root of 5 + 4square root of 13 + square root of 65
d A LaTex expression showing 20 - square root of 5 + 2square root of 13 - square root of 65
e A LaTex expression showing 5 - 2square root of 13 - square root of 65
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing (2 - square root of 2) times (square root of 11 + 4)
a A LaTex expression showing 2square root of 11 + 8 - square root of 22 - 4square root of 2
b A LaTex expression showing square root of 11 + 1 - square root of 22 - 4square root of 2
c A LaTex expression showing 2square root of 11 - 6 + square root of 2
d A LaTex expression showing square root of 11 - 1 - square root of 22 + 4square root of 2
e A LaTex expression showing 2square root of 11 + 9 + 4square root of 2
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 5 + 3) times (square root of 5 - 3)
a A LaTex expression showing -1
b A LaTex expression showing 1 + 4square root of 5
c A LaTex expression showing -4
d A LaTex expression showing 5 + 2square root of 5 - 9square root of 2
e A LaTex expression showing -4 + 4square root of 5