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Radicals - Multiplying Monomials with Binomials (Values Only) (Level 4)

This math topic focuses on multiplying monomials with binomials involving radical expressions and simplifying the results. It hones skills in handling various radicals, including square roots and cube roots, performing mathematical operations between monomial and binomial terms containing these radicals. Problems require the multiplication of these expressions followed by simplification, typically involving multi-step arithmetic operations to combine like terms and simplify under root terms. This topic is a foundational step in learning more complex operations 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

211â‹…(5+311)2\sqrt{11} \cdot (\sqrt{5} + 3\sqrt{11})

Radicals - Multiplying Monomials with Binomials (Values Only) Worksheet

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Math worksheet on 'Radicals - Multiplying Monomials with Binomials (Values Only) (Level 4)'. 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 3square root of 2 times (square root of 11 + 2square root of 3)
a A LaTex expression showing 3square root of 22 + square root of 6
b A LaTex expression showing 3square root of 22 + 6square root of 6
c A LaTex expression showing 3square root of 22 + 6square root of 2
d A LaTex expression showing square root of 22 + 6square root of 6
e A LaTex expression showing 3square root of 22 + 4square root of 6
f A LaTex expression showing 3square root of 2 + 6square root of 6
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing (23-th root of 2 + 3-th root of 2) times 23-th root of 5
a A LaTex expression showing 53-th root of 10
b A LaTex expression showing 4 + 23-th root of 10
c A LaTex expression showing 73-th root of 10
d A LaTex expression showing 63-th root of 10
e A LaTex expression showing 43-th root of 10 + 23-th root of 4
f A LaTex expression showing 93-th root of 10
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing (3square root of 2 + square root of 5) times 4square root of 7
a A LaTex expression showing 12square root of 14 + 3square root of 35
b A LaTex expression showing 12square root of 14 + 4
c A LaTex expression showing square root of 14 + 4square root of 35
d A LaTex expression showing 12square root of 14 + 4square root of 35
e A LaTex expression showing 4square root of 14 + 4square root of 35
f A LaTex expression showing 12square root of 14 + square root of 35
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing 2square root of 11 times (square root of 5 + 3square root of 11)
a A LaTex expression showing 2square root of 55 + 44
b A LaTex expression showing square root of 55 + 66
c A LaTex expression showing 3square root of 55 + 66
d A LaTex expression showing 2square root of 55 + 11
e A LaTex expression showing 2square root of 55 + 66
f A LaTex expression showing 68
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing 2square root of 2 times (square root of 5 + 3square root of 3)
a A LaTex expression showing 2square root of 10 + square root of 6
b A LaTex expression showing 2square root of 10 + 4square root of 6
c A LaTex expression showing 2square root of 10 + 6square root of 6
d A LaTex expression showing square root of 10 + 6square root of 6
e A LaTex expression showing 2square root of 10 + 2square root of 6
f A LaTex expression showing 2square root of 10 + 6
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing 23-th root of 11 times (23-th root of 3 - 3-th root of 7)
a A LaTex expression showing 3-th root of 33 - 23-th root of 77
b A LaTex expression showing 43-th root of 33 - 23-th root of 77
c A LaTex expression showing 33-th root of 33 - 23-th root of 77
d A LaTex expression showing 43-th root of 33 - 2
e A LaTex expression showing 43-th root of 33 - 3-th root of 77
f A LaTex expression showing 43-th root of 33 - 33-th root of 77
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing 2square root of 3 times (square root of 13 - 3square root of 11)
a A LaTex expression showing 2square root of 39 - square root of 33
b A LaTex expression showing 2square root of 39 - 6square root of 33
c A LaTex expression showing 2 - 6square root of 33
d A LaTex expression showing 2square root of 39 - 2square root of 33
e A LaTex expression showing 2square root of 39 - 6
f A LaTex expression showing 2square root of 39 - 3square root of 33