Reduce the following radicals: 8 84 − 5 84 8\sqrt{84}\ -\ 5\sqrt{84} 8 8 4 <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 8 4 <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">

6 21 6\sqrt{21} 6 2 1 <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 21 3\sqrt{21} 3 2 1 <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 21 2\sqrt{21} 2 2 1 <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 21 5\sqrt{21} 5 2 1 <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">

Indices and Surds

Authored by Sharad Detha

Mathematics

9th Grade

CCSS covered

Used 466+ times

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10 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

(ab⁸c)(a^-17c¹⁰)

a¹⁷b⁸c¹¹

a¹⁶b⁸c¹¹

(b⁸c¹¹)/(a¹⁶)

a^-17b⁸c¹⁰

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Simplify
(7a²)(5a⁶b)²

35a¹⁴b²

175a¹²b²

175a¹⁴b²

35a¹⁴b

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Evaluate the expression using the quotient rule.

2¹⁴ z¹³

2²/z⁷

2¹⁴/ z⁷

2²z⁷

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Simplify (3a^-1c^-5) / d⁰

3/ac⁵

3a/c⁵

1/3a¹c⁵d

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Simplify.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Simplify

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Reduce the following radicals: $8\sqrt{84}\ -\ 5\sqrt{84}$

$3\sqrt{21}$

$2\sqrt{21}$

$6\sqrt{21}$

$5\sqrt{21}$

Tags

CCSS.HSN.RN.A.2

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Indices and Surds

(ab⁸c)(a^-17c¹⁰)

Simplify
(7a²)(5a⁶b)²

Evaluate the expression using the quotient rule.

Simplify (3a^-1c^-5) / d⁰

Simplify.

Simplify

Simplify

Reduce the following radicals: $8\sqrt{84}\ -\ 5\sqrt{84}$

The length of a rectangle is 4a⁴b⁵ and the width is 3a²b³, what is the expression that represents the area of the rectangle?

Simplify the following surd

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Indices and Surds

(ab8c)(a-17c10)

Simplify(7a2)(5a6b)2

Evaluate the expression using the quotient rule.

Simplify (3a-1c-5) / d0

Simplify.

Simplify

Simplify

Reduce the following radicals: 884 − 5848\sqrt{84}\ -\ 5\sqrt{84}884​ − 584​

The length of a rectangle is 4a4b5 and the width is 3a2b3, what is the expression that represents the area of the rectangle?

Simplify the following surd

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

(ab⁸c)(a^-17c¹⁰)

Simplify
(7a²)(5a⁶b)²

Simplify (3a^-1c^-5) / d⁰

Reduce the following radicals: $8\sqrt{84}\ -\ 5\sqrt{84}$

The length of a rectangle is 4a⁴b⁵ and the width is 3a²b³, what is the expression that represents the area of the rectangle?