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Squares and Square Roots

This topic deals with finding square roots. Evaluating expressions with square roots and application problems are also covered.

Topic: Find Square Roots

  • A number that is multiplied by itself to form a product is a square root of that product

  • Every positive number has two square roots, one positive and one negative

  • Square root of 9 is 3 and -3 since 3 x 3 = 9 and -3 x -3 = 9

  • A negative number has no real square roots.
    For example, -81 has no real square root

Topic: Evaluate Expressions with Square Roots

  • To simplify expressions with square roots, evaluate the square roots and then follow the order of operations to simplify the expression

  • A number that is multiplied by itself to form a product is a square root of that product

  • Unless mentioned, simplify using only the principal (positive) square root of the number

Topic: Application Problems

  • A number that is multiplied by itself to form a product is a square root of that product. For example, 3. 3 = 9, so √9 = 3

  • In many real life problems, we only consider the positive square root; a negative root has no meaning
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