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Radical

Multiplying Monomials with Binomials (Values and Variables) (Level 1)

This math topic focuses on the skills of multiplying monomials with binomials involving radical expressions, and simplifying the results. It is designed to help learners grasp the basics of radicals, particularly through the application of multiplication. The problems involve multiple expressions with variables and require simplifying the products using properties of radicals and exponent rules. Each question has multiple choice answers, helping users to evaluate their understanding of the mathematical operations and simplifications involved with 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 and Variables)

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⋅(c3−4)\sqrt{2} \cdot (c\sqrt{3} - 4)

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Radicals - Multiplying Monomials with Binomials (Values and Variables) Worksheet

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Math worksheet on 'Radicals - Multiplying Monomials with Binomials (Values and Variables) (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 csquare root of 3 times (csquare root of 2 - 4c)
a A LaTex expression showing {c} to the power of 2 square root of 6 - 4{c} to the power of 2 square root of 3
b A LaTex expression showing {c} to the power of 3 square root of 6 - 4{c} to the power of 2 square root of 3
c A LaTex expression showing csquare root of 6 - 4{c} to the power of 2 square root of 3
d A LaTex expression showing {c} to the power of 2 square root of 6 - 4csquare root of 3
e A LaTex expression showing {c} to the power of 4 square root of 6 - 4{c} to the power of 2 square root of 3
f A LaTex expression showing 4{c} to the power of 2 square root of 6 - 4{c} to the power of 2 square root of 3
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 13d times (square root of 3d - 5)
a A LaTex expression showing dsquare root of 39 - 5square root of 13
b A LaTex expression showing dsquare root of 39 - 5square root of 3d
c A LaTex expression showing 4dsquare root of 39 - 5square root of 13d
d A LaTex expression showing dsquare root of 39 - 5dsquare root of 13
e A LaTex expression showing dsquare root of 39 - 5square root of 13d
f A LaTex expression showing square root of 39d - 5square root of 13d
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing (2x - {x} to the power of 2 square root of 2) times square root of 5
a A LaTex expression showing 2xsquare root of 5 - {x} to the power of 3 square root of 10
b A LaTex expression showing 2square root of 5 - {x} to the power of 2 square root of 10
c A LaTex expression showing 2xsquare root of 5 - 5{x} to the power of 2 square root of 10
d A LaTex expression showing 2xsquare root of 5 - {x} to the power of 2 square root of 10
e A LaTex expression showing 2xsquare root of 5 - 3{x} to the power of 2 square root of 10
f A LaTex expression showing 2{x} to the power of -1 square root of 5 - {x} to the power of 2 square root of 10
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 7 times (4 + {p} to the power of 2 square root of 7)
a A LaTex expression showing 4square root of 7 + 7{p} to the power of 2
b A LaTex expression showing 4square root of 7 + 7p
c A LaTex expression showing 4square root of 2 + 7{p} to the power of 2
d A LaTex expression showing 5square root of 7 + 7{p} to the power of 2
e A LaTex expression showing 4square root of 7 + 7{p} to the power of 3
f A LaTex expression showing 4square root of 7 + {p} to the power of 2
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing {d} to the power of 2 square root of 7 times (dsquare root of 3 + 5dsquare root of d)
a A LaTex expression showing {d} to the power of 3 square root of 21 + {d} to the power of 3 square root of 7d
b A LaTex expression showing {d} to the power of 3 square root of 21 + 5{d} to the power of 3 square root of 7d
c A LaTex expression showing {d} to the power of 3 square root of 21 + 5{d} to the power of 4 square root of 7d
d A LaTex expression showing 4{d} to the power of 3 square root of 21 + 5{d} to the power of 3 square root of 7d
e A LaTex expression showing dsquare root of 21 + 5{d} to the power of 3 square root of 7d
f A LaTex expression showing {d} to the power of 3 square root of 21 + 2{d} to the power of 3 square root of 7d
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing zsquare root of 5 times (square root of 2 - 5zsquare root of z)
a A LaTex expression showing zsquare root of 10 - 5{z} to the power of 2 square root of 5
b A LaTex expression showing zsquare root of 10 - 2{z} to the power of 2 square root of 5z
c A LaTex expression showing z - 5{z} to the power of 2 square root of 5z
d A LaTex expression showing zsquare root of 10 - 5{z} to the power of 2 square root of 5z
e A LaTex expression showing zsquare root of 10 - 5zsquare root of 5z
f A LaTex expression showing zsquare root of 2 - 5{z} to the power of 2 square root of 5z
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing {m} to the power of 2 square root of 5 times ({m} to the power of 2 square root of 7 - 3{m} to the power of 2 )
a A LaTex expression showing 5{m} to the power of 4 square root of 35 - 3{m} to the power of 4 square root of 5
b A LaTex expression showing {m} to the power of 4 square root of 35 - 3{m} to the power of 4 square root of 5
c A LaTex expression showing {m} to the power of 4 square root of 35 - 6{m} to the power of 4
d A LaTex expression showing 2{m} to the power of 4 square root of 35 - 3{m} to the power of 4 square root of 5
e A LaTex expression showing {m} to the power of 3 square root of 35 - 3{m} to the power of 4 square root of 5
f A LaTex expression showing {m} to the power of 4 square root of 35 - {m} to the power of 4 square root of 5