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Simplify Radicals with Monomials (Coefficients & Variables)

Authored by Jessica Fortner

Mathematics

9th Grade

Used 32+ times

Simplify Radicals with Monomials (Coefficients & Variables)
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12 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which answer is an equivalent expression of the square root below, written in simplest form?

 36x7\sqrt{36x^7}  

 6x36x^3  

 6x3x6x^3\sqrt{x}  

 x3xx^3\sqrt{x}  

 6x6x6x^6\sqrt{x}  

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which answer is an equivalent expression of the square root below, written in simplest form?

 16z5\sqrt{16z^5}  

 4a34a^3  

 a2aa^2\sqrt{a}  

 4a2a4a^2\sqrt{a}  

 4a2a34a^2\sqrt{a^3}  

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which answer is an equivalent expression of the square root below, written in simplest form?

 24a9b4\sqrt{24a^9b^4}  

 2a4b26a2a^4b^2\sqrt{6a}  

 2a4b26ab2a^4b^2\sqrt{6ab}  

 6a4b22a6a^4b^2\sqrt{2a}  

 2a4b6ab22a^4b\sqrt{6ab^2}  

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which answer is an equivalent expression of the square root below, written in simplest form?

 50m7n9\sqrt{50m^7n^9}  

 5m3n42n5m^3n^4\sqrt{2n}  

 5m6n42m5m^6n^4\sqrt{2m}  

 m3n42mnm^3n^4\sqrt{2mn}  

 5m3n42mn5m^3n^4\sqrt{2mn}  

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which answer is an equivalent expression of the square root below, written in simplest form?

 200m5n11p3\sqrt{200m^5n^{11}p^3}  

 10m4n10p2mnp10m^4n^{10}p\sqrt{2mnp}  

 10m2n5p2mnp10m^2n^5p\sqrt{2mnp}  

 10m2n5p2mp10m^2n^5p\sqrt{2mp}  

 m2n5p2mnpm^2n^5p\sqrt{2mnp}  

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which answer is an equivalent expression of the square root below, written in simplest form?

 18a12b5c7\sqrt{18a^{12}b^5c^7}  

 2a6b2c33bc2a^6b^2c^3\sqrt{3bc}  

 3a6b2c32bc3a^6b^2c^3\sqrt{2bc}  

 3a4bc32bc3a^4bc^3\sqrt{2bc}  

 3a6b2c32ab3a^6b^2c^3\sqrt{2ab}  

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which answer is an equivalent expression of the square root below, written in simplest form?

 25a24b4c8\sqrt{25a^{24}b^4c^8}  

 5a12b2c45a^{12}b^2c^4  

 5a12b2c4abc5a^{12}b^2c^4\sqrt{abc}  

 a12b2c4a^{12}b^2c^4  

 5a10b2c35a^{10}b^2c^3  

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