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Tenth Grade (Grade 10) Radicals Questions

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Grade 10 Radicals CCSS: HSN-RN.A.2
Simplify the following expression. [math]sqrt(125x^3)[/math]
  1. [math]5x[/math]
  2. [math]5x^3[/math]
  3. [math]5xsqrt(5x)[/math]
  4. [math]25sqrt(5x^3)[/math]
  5. none of these are correct
Grade 10 Radicals CCSS: HSF-IF.A.1
Find the domain of [math] y=(2x+7)^(1/2) [/math].
  1. [math]x>=-7/2[/math]
  2. [math]x>=0[/math]
  3. [math]x>=-2/7[/math]
  4. [math]x>=2/7[/math]
Grade 10 Radicals CCSS: HSN-RN.A.2
Simplify:
[math]sqrt(25x^8y^12[/math]
  1. [math]5x^4y^6[/math]
  2. [math]5x^2y^2sqrt(x^4y^6[/math]
  3. [math]5x^2y^2sqrt(xy)[/math]
  4. [math]5sqrt(x^8y^12[/math]
Grade 10 Radicals CCSS: HSA-REI.A.2
Solve:
[math]sqrt(5x+1)=4[/math]
  1. 3
  2. 1/5
  3. -0.2
  4. 1
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 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 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 10 Radicals CCSS: HSF-IF.A.2
If [math]f(x)=sqrt{x-4}[/math], evaluate [math]f(20)[/math].
  1. [math]sqrt{20}[/math]
  2. [math]4[/math]
  3. [math]sqrt{16}[/math]
  4. [math]2sqrt{5}[/math]
Grade 10 Radicals CCSS: HSN-RN.A.2
What is [math]root3( 27/125)[/math] in simplest form?
  1. [math](3 root3 5)/5[/math]
  2. [math](3)/(root3 5)[/math]
  3. [math](root3 5)/5[/math]
  4. [math](3)/5[/math]
Grade 10 Radicals CCSS: HSA-REI.A.2
Solve the equation.

[math]sqrt(x+13)-8=-2[/math]
  1. [math]49[/math]
  2. [math]23[/math]
  3. [math]-13[/math]
  4. [math]32[/math]
Grade 10 Radicals CCSS: HSN-RN.A.2
Simplify: [math]sqrt63-3sqrt28[/math]
  1. [math]3sqrt7[/math]
  2. [math]-3sqrt7[/math]
  3. [math]-2sqrt7[/math]
  4. [math]-9sqrt7[/math]
  5. none of these are correct
Grade 10 Radicals CCSS: HSN-RN.A.2
Which expression is equivalent to [math](sqrt(3x^2))^4[/math]?
  1. [math]3x^4[/math]
  2. [math]9x^4[/math]
  3. [math]9x^8[/math]
  4. [math]12x^8[/math]
Grade 10 Radicals CCSS: HSN-RN.A.2
Simplify. [math]sqrt360[/math]
  1. [math]3sqrt40[/math]
  2. [math]9sqrt20[/math]
  3. [math]12sqrt10[/math]
  4. [math]6sqrt10[/math]
Grade 10 Radicals CCSS: HSN-RN.A.2
Express using radicals.
[math](2x^2)^(1/3) (2x)^(1/2)[/math]
  1. [math]root6 (32x^5[/math]
  2. [math]root6 (4x^7[/math]
  3. [math]xroot6 (32x)[/math]
  4. [math]xroot6(4x[/math]
Grade 10 Radicals CCSS: HSN-RN.A.2
Simplify [math]root4(1296)[/math].
  1. 5
  2. 36
  3. 6
  4. 7
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 10 Radicals CCSS: HSN-RN.A.2
Simplify [math]sqrt(18)[/math].
  1. [math]9sqrt(2)[/math]
  2. [math]3sqrt(2)[/math]
  3. 9
  4. [math]2sqrt(3)[/math]
Grade 10 Radicals
Evaluate. [math](9^(1/2) +216^(1/3))^(-1/2)[/math]
  1. [math](-1/3)[/math]
  2. [math]1/3[/math]
  3. [math]-3[/math]
  4. 3
Grade 10 Radicals
Which of the following is equal to [math]sqrt(75)[/math]?
  1. [math]2sqrt5[/math]
  2. [math]3sqrt5[/math]
  3. [math]5sqrt2[/math]
  4. [math]3sqrt3[/math]
  5. [math]5sqrt3[/math]
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