Radicals Quiz 1

Question 1

$$\sqrt {{x^3}y} $$ written in exponential form will be

Accepted Answer

$${x^{\frac{3}{2}}}{y^{\frac{1}{2}}}$$

Answer

$${\left( {xy} \right)^{\frac{1}{2}}}$$

Answer

$${\left( {xy} \right)^{\frac{3}{2}}}$$

Answer

none of the above

Question 2

Simplified form of $$\dfrac{{\sqrt {320} }}{{\sqrt {40} }}$$ is

Accepted Answer

$$\dfrac{{4\sqrt 6 }}{3}$$

Answer

$$\dfrac{{4\sqrt 3 }}{6}$$

Answer

$$\dfrac{{4\sqrt 9 }}{6}$$

Answer

$$\dfrac{4}{3}$$

Question 3

The area of a square-shaped floor is $$48\;{m^2}$$. The perimeter of the floor is

Accepted Answer

$$16\sqrt 3 \;m$$

Answer

$$4\sqrt 3 \;m$$

Answer

$$16\sqrt 2 \;m$$

Answer

$$16\sqrt 6 \;m$$

Question 4

$$\left( {\sqrt[3]{x} - x} \right)\left( {\sqrt 2  + \sqrt x  + 1} \right)\left( {1 - \sqrt x } \right)$$ is equal to

Accepted Answer

$$ - {x^{\frac{5}{2}}} + \left( {1 - \sqrt 2 } \right){x^2} + \left( {1 + 2\sqrt 2 } \right){x^{\frac{3}{2}}} - \left( {1 + \sqrt 2 } \right)x$$

Answer

$${x^{\frac{5}{2}}} + \left( {1 + \sqrt 2 } \right){x^2} + \left( {1 - \sqrt 2 } \right){x^{\frac{3}{2}}} - \left( {1 + \sqrt 2 } \right)x$$

Answer

$$\left( {1 + \sqrt 2 } \right){x^2} + \left( {1 - \sqrt 2 } \right){x^{\frac{3}{2}}}$$

Answer

$${x^{\frac{5}{2}}} + \left( {1 - 2\sqrt 2 } \right){x^2} + \left( {2 + \sqrt 2 } \right){x^{\frac{3}{2}}} - \left( {1 + \sqrt 2 } \right)x$$

Question 5

Solve for $$x$$ in $$\sqrt {x - 3}  + \sqrt {2x + 1}  = 4$$

Accepted Answer

$$x = 4$$

Answer

$$x = 12$$

Answer

$$x = 8$$

Answer

$$x = 4\;\;or\;\;84$$