Grade 8 · Algebra & functions

Square roots and cube roots practice

Square roots and cube roots is a grade 8 math skill aligned to Common Core standard 8.EE.A.2: use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 15 square roots and cube roots problems our math games drill.

CCSS 8.EE.A.215 questions in the bank

Sample questions

Try 8 for free

Question 1easy

What is $\sqrt[3]{64}$ ?

$4 \times 4 \times 4 = 64$ , so $\sqrt[3]{64} = 4$ .

Question 2easy

If $x^2 = 169$ and $x > 0$ , what is $x$ ?

Take the positive square root: $x = \sqrt{169} = 13$ because $13 \times 13 = 169$ .

Question 3easy

What is $\sqrt{144}$ ?

$12 \times 12 = 144$ , so $\sqrt{144} = 12$ .

Question 4easy

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

$5 \times 5 \times 5 = 125$ , so $\sqrt[3]{125} = 5$ .

Question 5easy

Solve for the positive value of $x$ : $x^2 = 121$ .

$x = \sqrt{121} = 11$ because $11 \times 11 = 121$ .

Question 6easy

What is $\sqrt{81}$ ?

$9 \times 9 = 81$ , so $\sqrt{81} = 9$ .

Question 7easy

What is $\sqrt[3]{1{,}000}$ ?

$10 \times 10 \times 10 = 1{,}000$ , so $\sqrt[3]{1{,}000} = 10$ .

Question 8easy

What is $\sqrt{64}$ ?

$8 \times 8 = 64$ , so $\sqrt{64} = 8$ .

Play it

Math games for Grade 8

Questions like these are served inside our head-to-head math games.

Blaster Gate game

Blaster GateBlast through the wall. First to clear wins.

Blitz Tanks game

Blitz TanksSolve math to load shells. Out-think the battalion. Last math standing wins.

Tests that cover square roots and cube roots:

PSAT 8/9 SBAC SAT SC READY NM-MSSA

More Grade 8 skills:

Slope formula Scientific notation Similar triangle shadows (SAT)Two-way tables Modeling linear situations Pythagorean theorem Scatterplots and trend lines Linear coefficient interpretations All Grade 8 practice →

Drill it inside a game.

The free placement test finds your level, then every match serves square roots and cube roots questions at exactly the right difficulty.