Square roots of perfect squares

Square roots of perfect squares
Description
Exercise Name:	Square roots of perfect squares
Math Missions:	8th grade (U.S.) Math Mission, Pre-algebra Math Mission, Probability and statistics Math Mission, Algebra basics Math Mission, Mathematics I Math Mission
Types of Problems:	1

The Square roots of perfect squares exercise appears under the 8th grade (U.S.) Math Mission, Pre-algebra Math Mission, Probability and statistics Math Mission, Algebra basics Math Mission and Mathematics I Math Mission. This exercise is an arithmetic drill for positive square roots of perfect squares.

Types of Problems

There is one type of problem in this exercise:

1. Find the square root of the number: This problem asks for the square root of a given number. The user is expected to find the square root and write it in the space provided.

   

   Find the square root of the number

Strategies

Knowledge of the 12 by 12 times tables is sufficient to do this exercise correctly. Practice will increase speed if needed.

1. All the numbers under the radicals will be perfect squares, therefore the answers will all be integers.
2. The largest number seen so far is the square root of 144.

Real-life applications

1. Square roots have many uses in the physics as they are the way to undo squares in famous formulas like ${E=mc^2}$.
2. Applications to trigonometry are also evident since the right triangle trigonometry is based on the Pythagorean Theorem.
3. In geometry, the square root is necessary to find the distance between points or the magnitude of a vector.
4. The concept of square and cube roots were first realized by the Egyptians. The Egyptians used square/cube roots to make important calculations for the pyramids they constructed.