Square Roots Pythagorean Theorem Inverse Operations The opposite
- Slides: 17
Square Roots & Pythagorean Theorem
Inverse Operations… The opposite of + is The opposite of x 2 is
Square Root of a Number: If 2 b = a, then b is a square root of a
Radical Symbol : Radicand: number inside the radical
All positive numbers have two square roots. POSITIVE OR NEGATIVE Positive square root of a Negative square root of a
Perfect Squares: KNOW 1 -20 and their square roots. Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400
Irrational Numbers: can’t be written as a fraction
In algebra and geometry, we usually leave answers in radical terms. OR Pull out perfect squares, leave what's left inside the radical
Estimate numbers that aren’t perfect squares. is between 25 and 36 so it’s square root is between 5 and 6. A good estimate would be about 5. 5 because 5. 5 squared is 30. 25
Better estimation: • Look for the perfect square on each side of the number. • Find the difference from the given number and the smaller number. **This is your numerator. ** • Find the difference between the larger number and the smaller number. **This is your denominator. **
• • • 30 – 25 = 5 36 – 25 = 11 Fraction: 5/11 So the square root of 30 is about 5 5/11. In a calculator, the answer comes to about 5. 477225. • So we were very close.
Evaluate: When a=1, b=-2, c=-3 2 2
Evaluate: OR At 1. 12 At - 0. 62
PYTHAGOREAN THEOREM Works only with right triangles A leg b C 2 a + 2 b = 2 c c a leg hypotenuse B
Find the missing side using Pythagorean Theorem. a 2 + b 2 = c 2 8 C 82 + 6 2 = c 2 64 + 36 = c 2 100 = c 2 10 = c 6
Find the missing side using Pythagorean Theorem. a 2 + b 2 = c 2 a 2 + 122 = 132 a 2 + 144 = 169 a 2 = 25 a = 5 13 X 12
Don’t Do This!!!
- Pythagorean theorem perfect squares
- Pythagorean triples with radicals
- Perfect squares
- Existence and uniqueness of square roots and cube roots
- Opposite of squaring
- Perfect square number
- Simplify square root of 82
- Stokes vs green's theorem
- Vanessa jason biology roots www.biology-roots.com
- The roots of american imperialism 1. economic roots
- Quadratic equation with roots
- Inverse operation example
- Opposite additive inverse
- Opposite additive inverse
- Laplace
- Pythagorean theorem warm up
- Pythagorean theorem shapes
- Pythagorean theorem warm up