8.EE.A.2: Use square root and cube root symbols to represent solutions to equations — Practice

Recall / Warm-Up

What is the value of $7^2$ ?

3.5

What is the value of $4^3$ ?

Which of the following are all the real solutions to the equation $x^2 = 49$ ?

$x = 7$ , the positive root only

$x = -7$ , the negative root only

$x = 49$ , the value being squared to reach the equation

$x = \pm 7$

Evaluate $\sqrt{121}$ .

Solve the equation $x^3 = 64$ .

Evaluate $\sqrt[3]{125}$ .

Evaluate $\sqrt{\frac{9}{16}}$ .

Solve the equation $x^2 = \frac{25}{36}$ .

$x = \frac{5}{6}$ , keeping only the positive root

$x = \pm \frac{5}{6}$

$x = \frac{25}{6}$ , rooting the numerator but leaving the denominator unchanged

$x = \pm \frac{6}{5}$