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Ninth Grade (Grade 9) Radicals Questions

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Grade 9 Radicals CCSS: HSN-RN.A.2
Express the following expression using positive rational exponents.

[math]sqrt(4x^3)root{3}(y^4)[/math]
  1. [math]2x^(3/2) y^2[/math]
  2. [math]4x^(2/3) y^(3/4)[/math]
  3. [math]4x^(3/2) y^(4/3)[/math]
  4. [math]2 x^(3/2) y^(4/3)[/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
[math]sqrt25 + sqrt4 = sqrt29[/math]
  1. True
  2. False
Grade 9 Radicals
Which of these is not a perfect square?
  1. 25
  2. 64
  3. 72
  4. 100
Grade 9 Radicals CCSS: HSN-RN.A.2
Multiply: [math]4sqrt6 * 2sqrt3[/math]
  1. [math]24sqrt2[/math]
  2. [math]48sqrt3[/math]
  3. [math]24sqrt6[/math]
  4. [math]16sqrt3[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Express using rational exponents.

[math]root{3}{8 x^2 sqrt(y^5)}[/math]
  1. [math] 2 x^(2/3) y^(5/2) [/math]
  2. [math]8 x^(2/3) y^(5/9) [/math]
  3. [math]2 x^(2/3) y^(5/6) [/math]
  4. [math](y^(5/6)) / (2x^(2/3))[/math]
Grade 9 Radicals
Solve: [math]5sqrtx=45[/math]
  1. x = 3
  2. x = 9
  3. x = 81
  4. no solution
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 the radical expression.
[math]sqrt 15 xx sqrt 12[/math]
  1. [math]10 sqrt 3[/math]
  2. [math]-6sqrt 5[/math]
  3. [math]6sqrt 5[/math]
  4. [math]-10sqrt 3[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression [math]sqrt(1/25)[/math].
  1. [math]1/5[/math]
  2. [math]25[/math]
  3. [math]5[/math]
  4. [math]625[/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
Simplify. [math]sqrt800[/math]
  1. [math]2sqrt200[/math]
  2. [math]4sqrt50[/math][math]20sqrt2[/math]
  3. [math]20sqrt2[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Subtract: [math]3sqrt48 - 2sqrt27 - 2sqrt18[/math]
  1. [math]12sqrt6[/math]
  2. [math]6sqrt3 - 6sqrt2[/math]
  3. [math]12sqrt6 - 6sqrt2[/math]
  4. [math]6sqrt3 + 6sqrt2[/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 9 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression [math]sqrt(48)[/math].
  1. [math]8sqrt(3)[/math]
  2. [math]4sqrt(3)[/math]
  3. [math]16sqrt(3)[/math]
  4. [math]2sqrt(3)[/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 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/(xy[/math]
  5. none of the above
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify. [math]2sqrt(72)[/math]
  1. [math]12sqrt(3)[/math]
  2. [math]6sqrt(2)[/math]
  3. [math]12sqrt(2)[/math]
  4. [math]6sqrt(3)[/math]
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