Which of the following are like radicals with 3\sqrt{5} 3 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ?

2 5 2\sqrt{5} 2 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 5 -\sqrt{5} − 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 5 3 2\sqrt[3]{5} 2 3 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

3 5 x 3\sqrt{5x} 3 5 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

4 3 4\sqrt{3} 4 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Like Radicals

Quiz

•

Mathematics

•

9th - 11th Grade

•

Practice Problem

•

Easy

•

CCSS

8.NS.A.1

Standards-aligned

Kim Hammond

Used 2+ times

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are the following like radicals?

$\sqrt{5x}$ and $\sqrt[3]{5x}$

Yes!

No!

Answer explanation

No! These do not have the same index!

Tags

CCSS.8.NS.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are the following like radicals?

$3\sqrt{5}$ and $3\sqrt{x}$

Yes!

No!

Answer explanation

No! These don't have the same radicand!

Tags

CCSS.8.NS.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are the following like radicals?

$\sqrt{2x}$ and $-\sqrt{2x}$

Yes!

No!

Answer explanation

Yes! The indexes are the same (2) and the radicands are the same (2x).

Tags

CCSS.8.NS.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are the following like radicals?

$2\sqrt{2}$ and $\sqrt{8}$

Yes!

No!

Answer explanation

No! The radicands are not the same!

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are the following like radicals?

$\sqrt[3]{4xy}$ and $5\sqrt[3]{4x}$

Yes!

No!

Answer explanation

No! The radicands are not the same.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are the following like radicals?

$\sqrt[3]{4xy}$ and $5\sqrt[3]{4xy}$

Yes!

No!

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are the following like radicals?

$\sqrt{4xy}$ and $5\sqrt[3]{4xy}$

Yes!

No!

Answer explanation

No! The indexes are not the same.

8.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Which of the following are like radicals with $3\sqrt{5}$ ?

$2\sqrt[3]{5}$

$3\sqrt{5x}$

$2\sqrt{5}$

$-\sqrt{5}$

$4\sqrt{3}$

Tags

CCSS.8.NS.A.1

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Like Radicals

8 questions

Are the following like radicals? 5x\sqrt{5x}5x​ and 5x3\sqrt[3]{5x}35x​

No! These do not have the same index!

Are the following like radicals? 353\sqrt{5}35​ and 3x3\sqrt{x}3x​

No! These don't have the same radicand!

Are the following like radicals? 2x\sqrt{2x}2x​ and −2x-\sqrt{2x}−2x​

Yes! The indexes are the same (2) and the radicands are the same (2x).

Are the following like radicals? 222\sqrt{2}22​ and 8\sqrt{8}8​

No! The radicands are not the same!

Are the following like radicals? 4xy3\sqrt[3]{4xy}34xy​ and 54x35\sqrt[3]{4x}534x​

No! The radicands are not the same.

Are the following like radicals? 4xy3\sqrt[3]{4xy}34xy​ and 54xy35\sqrt[3]{4xy}534xy​

Are the following like radicals? 4xy\sqrt{4xy}4xy​ and 54xy35\sqrt[3]{4xy}534xy​

No! The indexes are not the same.

Which of the following are like radicals with 3\sqrt{5}35​ ?

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Are the following like radicals?

$\sqrt{5x}$ and $\sqrt[3]{5x}$

Are the following like radicals?

$3\sqrt{5}$ and $3\sqrt{x}$

Are the following like radicals?

$\sqrt{2x}$ and $-\sqrt{2x}$

Are the following like radicals?

$2\sqrt{2}$ and $\sqrt{8}$

Are the following like radicals?

$\sqrt[3]{4xy}$ and $5\sqrt[3]{4x}$

Are the following like radicals?

$\sqrt[3]{4xy}$ and $5\sqrt[3]{4xy}$

Are the following like radicals?

$\sqrt{4xy}$ and $5\sqrt[3]{4xy}$

Which of the following are like radicals with $3\sqrt{5}$ ?