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Common Core Standard HSN-RN.A.2 Questions

Rewrite expressions involving radicals and rational exponents using the properties of exponents.

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Grade 9 Radicals CCSS: HSN-RN.A.2
√32√2
Grade 9 Radicals CCSS: HSN-RN.A.2
Express without a radical and with positive fractional exponents.

5√x-1y-1
  1. 5x12y12
  2. xy5
  3. 5⋅(x12y12)
  4. 5x12y12
  5. None of the above
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify: √81x2
  1. x
  2. 9x
  3. 81
  4. 81x
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify.
√200
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression. 3√63⋅3√9
  1. 63√9
  2. 33√21
  3. 33√15
  4. 63√21
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify. 2√18+22√8
  1. 72√2
  2. 32√2+42√2
  3. 112√2
  4. 7
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify √160000.
  1. 40
  2. 400
  3. 4000
  4. 40000
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify.

7√2+3√2
  1. 20
  2. 10√2
  3. 21√2
  4. 84
Grade 9 Radicals CCSS: HSN-RN.A.2
Express with positive rational exponents.

24√64x6y-8z-12
  1. 252x32y2z3
  2. 4x (2x)12y2z3
  3. 4x2y4z8
  4. 16x3y4z6
Grade 9 Radicals CCSS: HSN-RN.A.2
√45
Grade 9 Radicals CCSS: HSN-RN.A.2
The square root of x16 is x4.
  1. True
  2. False
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify.
√50
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify.
√28
  1. 4√7
  2. 4√2
  3. 2√7
  4. 7√2
  5. 3√4
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression. √245x7y8
  1. (7y4)√5x7
  2. (7x7y8)√5x
  3. (7x3y4)√5x
  4. (7x3y4)√5
Grade 9 Radicals CCSS: HSN-RN.A.2
The expression √200 is equivalent to which of the following?
  1. 25√8
  2. 2√10
  3. 100√2
  4. 10√2
Grade 10 Radicals CCSS: HSN-RN.A.2
Which radical cannot be simplified?
  1. √98
  2. √72
  3. √110
  4. √120
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify.

6√d24x36
  1. d6x4
  2. d30x12
  3. d14x16
  4. d4x6
Grade 9 Radicals CCSS: HSN-RN.A.2
Express using radicals and integer exponents.

(3x)23y13
  1. 3√9x2y
  2. √27x3y3
  3. 3√3x2y3
  4. 3√9xy
Grade 9 Radicals CCSS: HSN-RN.A.2
√90
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