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Radicals - Multiplying Binomials (Values Only) (Level 2)

This math topic focuses on the multiplication of binomials involving radicals, emphasizing the simplification of radical expressions. It forms part of a broader introduction to the multiplication of radicals. The problems entail multiplying binomial expressions that include square roots and then simplifying the results to find the correct answer from multiple choices provided. Each question presents a different set of binomials with complex radical terms, challenging the student's ability to apply rules of exponentiation and algebraic manipulation in the context of radicals.

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

(2+13)⋅(5−2)(\sqrt{2} + \sqrt{13}) \cdot (\sqrt{5} - \sqrt{2})

Radicals - Multiplying Binomials (Values Only) Worksheet

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Math worksheet on 'Radicals - Multiplying 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 7 - square root of 3) times (square root of 7 + square root of 3)
a A LaTex expression showing -8 + 2square root of 21
b A LaTex expression showing 4
c A LaTex expression showing 6 - square root of 21 - 3
d A LaTex expression showing -2 + 3square root of 21
e A LaTex expression showing 4 - square root of 21 - 3
f A LaTex expression showing 5 - square root of 21 - 1
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 11 + square root of 2) times (square root of 3 + square root of 11)
a A LaTex expression showing square root of 33 + 12 + square root of 22
b A LaTex expression showing square root of 33 + square root of 6 + 11 + square root of 3
c A LaTex expression showing square root of 33 + square root of 6 - 11 + square root of 22
d A LaTex expression showing square root of 33 + square root of 6 - 11 + 2square root of 22
e A LaTex expression showing square root of 33 - 10 - square root of 22
f A LaTex expression showing square root of 33 + square root of 6 + 11 + square root of 22
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 11 - square root of 7) times (square root of 3 + square root of 7)
a A LaTex expression showing square root of 33 + 7
b A LaTex expression showing square root of 2 + square root of 77 - square root of 21 - 7
c A LaTex expression showing square root of 33 + square root of 77 - 6
d A LaTex expression showing -6 - square root of 77 + 2square root of 21
e A LaTex expression showing square root of 33 + square root of 77 - square root of 21 - 7
f A LaTex expression showing square root of 33 - square root of 77 - square root of 21 - 7
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 3 + square root of 11) times (square root of 2 + square root of 7)
a A LaTex expression showing 1 + square root of 22 + square root of 21 + square root of 77
b A LaTex expression showing square root of 6 + square root of 22 + square root of 21 + square root of 77
c A LaTex expression showing square root of 6 + square root of 22 + square root of 21 - 5square root of 77
d A LaTex expression showing square root of 6 - square root of 22 + 1 + 3square root of 77
e A LaTex expression showing square root of 2 + square root of 22 + square root of 21 - square root of 77
f A LaTex expression showing square root of 6 + 1 + square root of 21 - square root of 77
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 5 + square root of 2) times (square root of 3 + square root of 7)
a A LaTex expression showing 5square root of 15 + square root of 35 - square root of 6 + square root of 3
b A LaTex expression showing square root of 15 + 5square root of 35 + square root of 6 + square root of 2
c A LaTex expression showing 4 + square root of 35 - square root of 6 + square root of 14
d A LaTex expression showing square root of 15 + square root of 35 + square root of 6 + square root of 14
e A LaTex expression showing 1 + square root of 35 - square root of 6 + square root of 14
f A LaTex expression showing square root of 15 + 2square root of 35 - square root of 6 + square root of 14
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 7 + square root of 13) times (square root of 5 + square root of 13)
a A LaTex expression showing square root of 35 + 2 + 13
b A LaTex expression showing -12 + square root of 91 + square root of 65
c A LaTex expression showing 17 + square root of 91 + square root of 65
d A LaTex expression showing square root of 35 + square root of 91 + square root of 65 + 13
e A LaTex expression showing square root of 35 + 4square root of 91 + 14
f A LaTex expression showing square root of 35 + square root of 91 + square root of 65 + 52
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 5 + square root of 11) times (square root of 7 + square root of 7)
a A LaTex expression showing 2square root of 35 + 2square root of 77
b A LaTex expression showing 1 + square root of 35
c A LaTex expression showing 5square root of 35 + 1 + square root of 77
d A LaTex expression showing 2square root of 35
e A LaTex expression showing 5square root of 35 + square root of 77
f A LaTex expression showing 4square root of 35 + 1 + 2square root of 77