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Eleventh Grade (Grade 11) Radicals Questions

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Grade 11 Radicals CCSS: HSA-REI.A.2
Solve for all possible values of [math]x[/math]: [math]sqrt(x^2+4x-16)=4[/math]
  1. No Solution
  2. [math]-8, 4[/math]
  3. All real numbers
  4. [math]-4, 16[/math]
Grade 11 Radicals CCSS: HSA-REI.A.2
Solve for all possible values of [math]x[/math]: [math](sqrt(x+3))/9=sqrt(x+1)[/math]
  1. [math]3, 9[/math]
  2. [math]-39/40[/math]
  3. [math]78/80[/math]
  4. [math]3[/math]
Grade 11 Radicals CCSS: HSA-REI.A.2
Solve for all possible values of [math]x[/math]: [math]x/sqrtx=sqrtx[/math]
  1. All real numbers
  2. [math]x>=sqrtx[/math]
  3. [math]x>=0[/math]
  4. No Solution
Grade 11 Radicals CCSS: HSA-REI.A.2
Solve for all possible values of [math]x[/math]: [math]sqrt(x+2)=sqrt(x)+2[/math]
  1. No Solution
  2. [math](7+-sqrt66)/4[/math]
  3. All real numbers
  4. [math](-7+-sqrt33)/4[/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
Express with fractional exponents.

[math]root3(25^2)[/math]
  1. [math]25^(2/3)[/math]
  2. [math]5^(3)[/math]
  3. [math]root()(25^(3)[/math]
  4. [math]25^(3/2)[/math]
Grade 11 Radicals
Which of the following is NOT a perfect cube?
  1. [math]x^30[/math]
  2. [math]x^8[/math]
  3. [math]x^15[/math]
  4. [math]x^3[/math]
Grade 11 Radicals
Simplify: [math]root3(27x^10)[/math]
  1. [math]27x^10[/math]
  2. [math]root3(27x^10)[/math]
  3. [math]3root3(x^10)[/math]
  4. [math](3x^3)root3x[/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
If a field is [math]3 root(5)(x^8)[/math] units long and it is divided into [math]12 root(3)(x^4)[/math] segments, how long is each segment?
  1. [math]1/4 sqrt(x^4)[/math]
  2. [math]-9 root(2)(x^4)[/math]
  3. [math]1/4 root (15)(x^4)[/math]
  4. [math]1/4 root(5/3)(x^2)[/math]
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