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Radicals - 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

(3yy−y11y)⋅y5(3y\sqrt{y} - y\sqrt{11y}) \cdot y\sqrt{5}

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 zsquare root of 2z times (zsquare root of 3z - 5z)
a A LaTex expression showing {z} to the power of 3 square root of 6 - 5zsquare root of 2z
b A LaTex expression showing {z} to the power of 2 square root of 6z - 5{z} to the power of 2 square root of 2z
c A LaTex expression showing {z} to the power of 3 square root of 6 - 5{z} to the power of 3 square root of 2z
d A LaTex expression showing {z} to the power of 3 square root of 6 - 5{z} to the power of 2 square root of 2z
e A LaTex expression showing {z} to the power of 3 square root of 6 - 5{z} to the power of 3 square root of 2
f A LaTex expression showing {z} to the power of 5 square root of 6 - 5{z} to the power of 2 square root of 2z
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 3 times (2psquare root of p + square root of 2p)
a A LaTex expression showing 2psquare root of p + square root of 6p
b A LaTex expression showing 2psquare root of 3p + square root of 6
c A LaTex expression showing 2psquare root of 3p + square root of 6p
d A LaTex expression showing 2{p} to the power of -1 square root of 3p + square root of 6p
e A LaTex expression showing 2{p} to the power of 3 square root of 3p + square root of 6p
f A LaTex expression showing 2psquare root of 3p + 3square root of 6p
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing psquare root of 2p times ({p} to the power of 2 square root of 13 + 3square root of p)
a A LaTex expression showing {p} to the power of 3 square root of 26p + 3{p} to the power of 2 square root of 2p
b A LaTex expression showing {p} to the power of 3 square root of 26p + 3{p} to the power of 2 square root of 2
c A LaTex expression showing {p} to the power of 3 square root of 26p + 3psquare root of 2
d A LaTex expression showing {p} to the power of 4 square root of 26 + 3{p} to the power of 2 square root of 2
e A LaTex expression showing {p} to the power of 3 square root of 26p + 3{p} to the power of 3 square root of 2
f A LaTex expression showing {p} to the power of 3 square root of 26p + 3{p} to the power of 2
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing psquare root of 2 times (3 + {p} to the power of 2 square root of 11)
a A LaTex expression showing 3psquare root of 2 + {p} to the power of 3 square root of 2
b A LaTex expression showing 3p + {p} to the power of 3 square root of 22
c A LaTex expression showing 5psquare root of 2 + {p} to the power of 3 square root of 22
d A LaTex expression showing 3psquare root of 2 + {p} to the power of 3 square root of 22
e A LaTex expression showing 3{p} to the power of 2 square root of 2 + {p} to the power of 3 square root of 22
f A LaTex expression showing psquare root of 2 + {p} to the power of 3 square root of 22
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing (3{r} to the power of 2 - {r} to the power of 2 square root of 3) times square root of 7
a A LaTex expression showing 4{r} to the power of 2 square root of 7 - {r} to the power of 2 square root of 21
b A LaTex expression showing 3{r} to the power of 2 square root of 7 - 3{r} to the power of 2 square root of 21
c A LaTex expression showing 3{r} to the power of 2 square root of 7 - rsquare root of 21
d A LaTex expression showing 3rsquare root of 7 - {r} to the power of 2 square root of 21
e A LaTex expression showing 3{r} to the power of 2 square root of 7 - {r} to the power of 2 square root of 21
f A LaTex expression showing 3{r} to the power of 3 square root of 7 - {r} to the power of 2 square root of 21
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing ({c} to the power of 2 square root of 13 + 4c) times square root of 5
a A LaTex expression showing {c} to the power of 2 square root of 65 + 2csquare root of 5
b A LaTex expression showing {c} to the power of 2 square root of 65 + 4csquare root of 3
c A LaTex expression showing {c} to the power of 2 square root of 65 + 4csquare root of 5
d A LaTex expression showing 4{c} to the power of 2 square root of 65 + 4csquare root of 5
e A LaTex expression showing {c} to the power of 2 + 4csquare root of 5
f A LaTex expression showing {c} to the power of 2 square root of 65 + 4c
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing {n} to the power of 2 square root of 5 times (nsquare root of 13n - 4n)
a A LaTex expression showing {n} to the power of 3 square root of 65n - 4{n} to the power of 4 square root of 5
b A LaTex expression showing {n} to the power of 3 square root of 65{n to the power of -1 } - 4{n} to the power of 3 square root of 5
c A LaTex expression showing {n} to the power of 3 square root of 65n - 4{n} to the power of 3 square root of 5
d A LaTex expression showing {n} to the power of 2 square root of 65n - 4{n} to the power of 3 square root of 5
e A LaTex expression showing {n} to the power of 3 square root of 65n - 4{n} to the power of 5 square root of 5
f A LaTex expression showing {n} to the power of 3 square root of 65n - 4{n} to the power of 2 square root of 5