Know Your Roots How can square roots and cube roots be used to solve expressions and equations?

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Presented by Mr. Laws 8th Grade Math, JCMS

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Presentation transcript:

Know Your Roots How can square roots and cube roots be used to solve expressions and equations?

8 th Grade Math Standard M.8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x 2 = p and x 3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Rational Verses Irrational Rational Numbers Irrational Numbers √2 ≈ … √5 ≈ … ∏ ≈ …

Square Root Verses Squaring Root- something that is an origin or source √4 - Read as “the square root of 4” To find the √4 you need to ask… “What number times itself equals 4?” The answer is 2… 2 squared, 2 times 2, is equal to 4. Therefore the √4 = 2 Remember, 2 is a rational number.

Perfect Squares = Easy Square Roots It is sometimes easier to find the square root of a perfect square. ? X ? = 2 For example; √25 = 5 because 5 x 5 = 25 What do you do if you need to find the √2? √2 ≈ …

Cube Root Verses Cubing Root- something that is an origin or source √8 - Read as “the cube root of 8” To find the √8 you need to ask… “?  ?  ? equals 8?” The answer is 2… 2 times 2 times 2 equals 8. Therefore the √8 = 2 Remember, 2 is a rational number

Lesson Summary Use your exponent knowledge to square and cube numbers. Use square roots and cube roots to find solutions to equations. Classify numbers as either rational or irrational.