8.9 Sample test: radicals

Punch this into your calculator and give the answer rounded to three decimal places. This is the only question on the quiz where I want an answer in the form of an ugly decimal:

$\sqrt{69}=$

Give me an approximate answer for $\sqrt[3]{10}$ .

$\sqrt{400}$

$\sqrt[3]{-27}$

$3\sqrt{-27}$

$\sqrt{108}$

$\sqrt{20}-\sqrt{45}$

$\sqrt{\frac{300}{64}}$

$\sqrt{x^{16}}$

$\sqrt[5]{x^{38}}$

$\sqrt{98x^{20}{y}^{5}z}$

$\sqrt{4x^2+9y^4}$

$(\sqrt{3}-\sqrt{2}{)}^2$

$\frac{\sqrt{54}}{2+\sqrt{2}}$

$\sqrt[3]{\text{something}}=x+2$ . What is the something ?

Rewrite as an exponent equation: $x=\sqrt[n]{y}$

Rewrite as a radical equation: $a^b=c$

Rewrite as a logarithm equation: $a^b=c$

$\frac{3+\sqrt{x}}{2}=5$

$\sqrt{2x+1}-\sqrt{x}=1$

$3x+\sqrt{3}\left(x\right)-4+\sqrt{8}=0$

$\sqrt{x}+\sqrt{2}\left(x\right)-\sqrt{2}=0$

For an object moving in a circle around the origin, whenever it is at the point ( $x$ , $y$ ), its distance to the center of the circle is given by: $r=\sqrt{x^2+y^2}$

• A

  Solve this equation for $x$ .

• B

  If $y=2$ and $r=2\frac{1}{2}$ , what is $x$ ?

Graph $y=–\sqrt{x}+3$ .

What are the domain and range of the graph you drew in #24?