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Square Roots

Square Roots. Holt Algebra 1. 2 5. 5 9. 5 6. 3 8. 5. –1. Simplify each expression. 1. 6 2. 121. 2. 11 2. 36. 25 36. 81. 4. 3. (–9)( – 9). Write each fraction as a decimal. 0.4. 5. 6. 0.5. –1.83. 7. 5.375. 8. A number that is multiplied by itself to form a

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Square Roots

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  1. Square Roots Holt Algebra 1

  2. 2 5 5 9 5 6 3 8 5 –1 Simplify each expression. 1. 62 121 2. 112 36 25 36 81 4. 3. (–9)(–9) Write each fraction as a decimal. 0.4 5. 6. 0.5 –1.83 7. 5.375 8.

  3. A number that is multiplied by itself to form a product is called a square root of that product. The operations of squaring and finding a square root are inverse operations. The radical symbol , is used to represent square roots. Positive real numbers have two square roots. Positive square root of 16 =4 4  4 = 42= 16 = –4 – (–4)(–4) = (–4)2= 16 Negative square root of 16

  4. The nonnegative square root is represented by . The negative square root is represented by – . A perfect square is a number whose positive square root is a whole number. Some examples of perfect squares are shown in the table. 0 1 4 9 16 25 36 49 64 81 100 02 12 22 32 42 52 62 72 82 92 102

  5. Reading Math The expression does not represent a real number because there is no real number that can be multiplied by itself to form a product of –36.

  6. A. = 4 B. = –3 Example 1: Finding Square Roots of Perfect Squares Find each square root. Think: What number squared equals 16? 42 = 16 Positive square root positive 4. Think: What is the opposite of the square root of 9? 32 = 9 Negative square root negative 3.

  7. 25 81 Think: What number squared equals ? 5 9 Positive square root positive . Example 1C: Finding Square Roots of Perfect Squares Find the square root.

  8. 1a. Positive square root positive 2. 1b. = 2 Negative square root negative 5. Check It Out! Example 1 Find the square root. Think: What number squared equals 4? 22 = 4 52 = 25 Think: What is the opposite of the square root of 25?

  9. The square roots of many numbers like , are not whole numbers. A calculator can approximate the value of as 3.872983346... Without a calculator, you can use square roots of perfect squares to help estimate the square roots of other numbers.

  10. Example 2: Simplifying Square–Root Expressions Simplify each expression. A. Find a perfect square factor of 32. Product Property of Square Roots B. Quotient Property of Square Roots

  11. Check It Out! Example 2 Simplify each expression. A. Find a perfect square factor of 48. Product Property of Square Roots B. Quotient Property of Square Roots Simplify.

  12. Example 2: Simplifying Square–Root Expressions Simplify each expression. C. Product Property of Square Roots D. Quotient Property of Square Roots

  13. Check It Out! Example 2 Simplify each expression. C. Product Property of Square Roots D. Quotient Property of Square Roots

  14. Partner activity…. Choose one……

  15. HOMEWORK: 12 problem worksheet

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