Multiplying Monomials (Values and Variables) over Unit Fraction (Level 2)

The math topic involves practicing the multiplication of monomial radical expressions, particularly when these expressions are divided over a unit fraction. This includes simplifying the resulting expressions after multiplication. The task primarily deals with combining the roots of variable terms and constants, which tests and develops skills in manipulating radicals and exponents. The specific focus on dealing with unit fractions adds an additional element, requiring the student to understand and manage expressions involving division by fractions. The worksheet covers a variety of examples to solidify these concepts.

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Radicals - Multiplying Monomials (Values and Variables) over Unit Fraction Worksheet

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Math worksheet on 'Radicals - Multiplying Monomials (Values and Variables) over Unit Fraction (Level 2)'. Part of a broader unit on 'Radicals - Multiplication Intro' Learn online: app.mobius.academy/math/units/radicals_multiplication_intro/
1
A LaTex expression showing \frac{square root of 8y times square root of 50{y to the power of 3 }}{1 over 4 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 80{y} to the power of 2
b A LaTex expression showing 320{y} to the power of 2
c A LaTex expression showing 20ysquare root of y
d A LaTex expression showing 20{y} to the power of 2
2
A LaTex expression showing \frac{square root of 48d times square root of 27{d to the power of 2 }}{1 over 2 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 72dsquare root of d
b A LaTex expression showing 36{d} to the power of 2 square root of d
c A LaTex expression showing 36square root of d
d A LaTex expression showing 144dsquare root of d
e A LaTex expression showing 36{d} to the power of 2
3
A LaTex expression showing \frac{square root of 32 times square root of 50}{1 over 3 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 120
b A LaTex expression showing 1
c A LaTex expression showing 40
d A LaTex expression showing 160
4
A LaTex expression showing \frac{square root of 12{p to the power of 4 } times square root of 48p}{1 over 3 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 216{p} to the power of 3 square root of p
b A LaTex expression showing 216{p} to the power of 2
c A LaTex expression showing 24{p} to the power of 2 square root of p
d A LaTex expression showing 72{p} to the power of 2 square root of p
e A LaTex expression showing {p} to the power of 2 square root of p
5
A LaTex expression showing \frac{square root of 48{p to the power of 4 } times square root of 27p}{1 over 2 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 36{p} to the power of 2
b A LaTex expression showing 36{p} to the power of 2 square root of p
c A LaTex expression showing 144{p} to the power of 2 square root of p
d A LaTex expression showing 72{p} to the power of 2 square root of p
6
A LaTex expression showing \frac{square root of 18 times square root of 32{b to the power of 3 }}{1 over 3 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 24{b} to the power of 2
b A LaTex expression showing 72bsquare root of b
c A LaTex expression showing 24square root of b
d A LaTex expression showing 216bsquare root of b
7
A LaTex expression showing \frac{square root of 28{m to the power of 4 } times square root of 63{m to the power of 3 }}{1 over 5 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing {m} to the power of 3 square root of m
b A LaTex expression showing 42{m} to the power of 3
c A LaTex expression showing 210{m} to the power of 3 square root of m
d A LaTex expression showing 1050{m} to the power of 3