Objective - To find the square root of a given number. An operation that yields a number which, when multiplied by itself, produces the given number Squares Square Roots

Are Squares and Square Roots Inverses? Start Square it Root it Result It would seem that a square root is the inverse operation of a square. Not Exactly! Does not work with negative numbers.

Every positive number has two roots. Positive Square Root Negative Square Root (Principal Square Root) The square root is not the inverse of a square because it gives only the positive root. Consider the following: Two solutions One solution

Simplify each root below and identify as a positive root or a negative root.

Some square roots need to be estimated using a calculator. Check! Estimate each root below to the nearest hundredth using a calculator.

Perfect Squares Rational Roots Irrational Roots

Identify each root as rational or irrational.

Estimate each irrational root to the nearest tenth without using a calculator.

Determine what two consecutive integers each irrational root lies between.

Determine what two consecutive integers each irrational root lies between.

Finding the Side of a Square 1) 2) Distance can’t be negative