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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
[math]sqrt2*sqrt50[/math]
  1. [math]100[/math]
  2. [math]sqrt100[/math]
  3. [math]10[/math]
  4. [math]25[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify. [math] sqrt(50x^2) [/math]
  1. [math]xsqrt(50x)[/math]
  2. [math]5xsqrt(2)[/math]
  3. [math]25x^2sqrt(2x^2)[/math]
  4. [math]5sqrt(2x^2)[/math]
Grade 10 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression.
[math]-10 sqrt 950[/math]
  1. [math]50 sqrt 19[/math]
  2. [math]-50 sqrt 19[/math]
  3. [math]50 sqrt 38[/math]
  4. [math]-50 sqrt 38[/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression. [math]sqrt2 * sqrt{:25x^3[/math]
  1. [math]5sqrt{:2x^3[/math]
  2. [math]sqrt{:50x^3[/math]
  3. [math]5x sqrt 2x[/math]
  4. [math]5x sqrt{:50x[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression [math]sqrt(27)[/math].
  1. [math]3sqrt(9)[/math]
  2. [math]6sqrt(3)[/math]
  3. [math]9sqrt(3)[/math]
  4. [math]3sqrt(3)[/math]
Grade 10 Radicals CCSS: HSN-RN.A.2
Simplify: [math](sqrt(80x^3) )/(sqrt(5x^-1))[/math]
  1. [math]4x^2[/math]
  2. [math]4x[/math]
  3. [math]5x^2 sqrt3[/math]
  4. [math]5x sqrt3[/math]
  5. none of these are correct
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify.
[math]sqrt(15xy^2)/sqrt(5xy)[/math]
  1. [math]sqrt(3y)/sqrt(5xy)[/math]
  2. [math]sqrt(3y)[/math]
  3. 3y
  4. [math](3y)/(5xy)[/math]
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify. Assume [math]a[/math] and [math]b[/math] are positive. [math] a^(4/3) \ (a^(-1/2) b^(9/5))^(3/4) [/math]
  1. [math]a^(47/15) / b^(27/20) [/math]
  2. [math]a^(19/12) \ b^(51/20)[/math]
  3. [math]a^(5/8) \ b^(27/20)[/math]
  4. [math]a ^(23/24) b^(27/20) [/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression. [math]root6 192[/math]
  1. [math]-2root6 3[/math]
  2. [math]3 root6 2[/math]
  3. [math]2root6 3[/math]
  4. [math]-3root6 2[/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression. [math]sqrt{:289x^10y^4[/math]
  1. [math]17x^10y^4[/math]
  2. [math]17x^5y^2[/math]
  3. [math]18x^5y^2[/math]
  4. [math]16x^5y^2[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression [math]sqrt(16/100)[/math].
  1. [math]4/10[/math]
  2. [math]2/5[/math]
  3. [math]5/2[/math]
  4. [math]10/4[/math]
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify: [math]x^(2/3) (x^(1/4) )[/math]. Assume [math]x[/math] is positive.
  1. [math]x^(1/6)[/math]
  2. [math]x^(3/7)[/math]
  3. [math]x^(1/8)[/math]
  4. [math]x^(11/12)[/math]
  5. None of these are correct
Grade 10 Radicals CCSS: HSN-RN.A.2
Simplify. Assume [math]m[/math] and [math]n[/math] are positive. [math] ( (16 \ m^(3/2) \ n^(-2)) / (2 \ m^(-3) \ n^(4/5)) )^(1/3) [/math]
  1. [math] (2m^(3/2)) / (n^(14/15) )[/math]
  2. [math] 2 m^(1/6) \ n^(5/6) [/math]
  3. [math] 2 /( m^(3/2) \ n^(15/2) ) [/math]
  4. [math] 2 / (m^(1/2) \ n^(2/5) )[/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
[math]root3(16)+root3(32x^3)+root3(54p^8)+root3(40)[/math]
  1. [math]2root3(2)+2xroot3(4)+3p^2root3(2p^2)+2root3(5)[/math]
  2. [math]2xroot3(4)+5p^2root3(2)+2root3(5)[/math]
  3. [math]2root3(2)+2xroot3(4)+3p^2root3(2)+2root3(5)[/math]
  4. [math]root3(16)+root3(32x^3)+root3(54p^8)+root3(40)[/math]
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