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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
Express without a radical and with positive fractional exponents.

[math]5sqrt(x^-1y^-1[/math]
  1. [math]5x^(1/2)y^(1/2)[/math]
  2. [math](xy)/5[/math]
  3. [math]5*(x^(1/2)y^(1/2))[/math]
  4. [math]5/{x^(1/2)y^(1/2)}[/math]
  5. None of the above
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify: [math]sqrt (81x^2[/math]
  1. x
  2. 9x
  3. 81
  4. 81x
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression. [math]root3 63 * root3 9[/math]
  1. [math]6root3 9[/math]
  2. [math]3 root3 21[/math]
  3. [math]3 root3 15[/math]
  4. [math]6 root3 21[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify. [math]root2 18 + 2 root2 8[/math]
  1. [math]7root2 2[/math]
  2. [math]3root2 2+4root2 2[/math]
  3. [math]11root2 2[/math]
  4. [math]7[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify [math]sqrt(160000)[/math].
  1. 40
  2. 400
  3. 4000
  4. 40000
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify.

[math]7sqrt2+3sqrt2[/math]
  1. [math]20[/math]
  2. [math]10sqrt2[/math]
  3. [math]21sqrt2[/math]
  4. [math]84[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Express with positive rational exponents.

[math]2root{4}(64 x^6 y^(-8) z^(-12))[/math]
  1. [math]2^(5/2) x^(3/2) y^2 z^3 [/math]
  2. [math](4x \ (2x)^(1/2)) / (y^2 z^3) [/math]
  3. [math](4x^2 ) / (y^4 z^8) [/math]
  4. [math](16 x^3) / (y^4 z^6) [/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
[math]sqrt45[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify.
[math]sqrt28[/math]
  1. [math]4sqrt7[/math]
  2. [math]4sqrt2[/math]
  3. [math]2sqrt7[/math]
  4. [math]7sqrt2[/math]
  5. [math]3sqrt4[/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression. [math]sqrt {:245x^7y^8[/math]
  1. [math](7y^4)sqrt {:5x^7[/math]
  2. [math](7x^7y^8)sqrt {:5x[/math]
  3. [math](7x^3y^4)sqrt {:5x[/math]
  4. [math](7x^3y^4)sqrt5[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
The expression [math]sqrt(200) [/math] is equivalent to which of the following?
  1. [math]25sqrt(8)[/math]
  2. [math]2sqrt(10)[/math]
  3. [math]100sqrt(2)[/math]
  4. [math]10sqrt(2)[/math]
Grade 10 Radicals CCSS: HSN-RN.A.2
Which radical cannot be simplified?
  1. [math]sqrt98[/math]
  2. [math]sqrt72[/math]
  3. [math]sqrt110[/math]
  4. [math]sqrt120[/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify.

[math]root6(d^24x^36)[/math]
  1. [math]d^6x^4[/math]
  2. [math]d^30x^12[/math]
  3. [math]d^(1/4)x^(1/6)[/math]
  4. [math]d^4x^6[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Express using radicals and integer exponents.

[math](3x)^(2/3) y^(1/3)[/math]
  1. [math]root{3}{9x^2y}[/math]
  2. [math](sqrt(27x^3)) / (y^3) [/math]
  3. [math]root{3}{3x^2y^3}[/math]
  4. [math]root{3}{9xy}[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
[math]sqrt90[/math]
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