Simplify Square Roots

Simplifying square roots. In MathBound, the free Algebra I adventure game, Turnip Tugger asks these problems, and the only way past is to solve them.

Part of Radicals and More Functions: chapter 11 of the standard course.

10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Use the Product Property. Simplify a square root of an integer by factoring out the largest perfect square.
Simplify Variable Roots. Simplify a square root of a single variable with an odd exponent by factoring out the largest even power.

Made by the game’s own question engine. Try each one, then open its steps.

Which

of

these

is

in

simplest

radical

form?

Show the worked steps

$A$ $radical$ $is$ $simplified$ $when$ $no$ $perfect$ $square$ $divides$ $its$ $radicand.$
$14$ $has$ $no$ $square$ $factor,$ $so$ $514$ $is$ $in$ $simplest$ $form.$

Answer: $514$

Simplify:

m^{3}

Show the worked steps

Answer: $m m$

Which

radical

equals

515 ?

Show the worked steps

Answer: $375$

Textbook	Lessons
Standard course	11.1
Big Ideas Math Algebra 1	9.1
Big Ideas Math Algebra 1 (2022)	9.1
Carnegie Learning Algebra I	M5 2.2
CPM Core Connections Algebra	9.1.4
enVision Algebra 1	9-3
enVision Algebra 1 (2024)	6-2
Glencoe Algebra 1	10-2
Illustrative Mathematics Algebra 1	7.15
Illustrative Mathematics Algebra 1 (v.360)	8.15
Math Nation Algebra 1 (Florida B.E.S.T.)	1.8
MVP Mathematics I (Integrated Math 1)	2.7
OpenStax Elementary Algebra 2e	9.2
Pearson Algebra 1 Common Core	10-2
Reveal Algebra 1	8-5
SpringBoard Algebra 1	20