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Approximate a square root

The top of a folding table is a square whose area is 945 square inches. Approximate the side length of the. tabletop to the nearest inch.

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Approximate a square root

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  1. The top of a folding table is a square whose area is 945 square inches. Approximate the side length of the tabletop to the nearest inch. You need to find the side length sof the tabletop such that s945. This means that sis the positive square root of 945. You can use a table to determine whether 945 is a perfect square. = 2 EXAMPLE 2 Approximate a square root FURNITURE SOLUTION

  2. < 31 30 < 900 945 961 945 < <     EXAMPLE 2 Approximate a square root As shown in the table,945 is not a perfect square. The greatest perfect square less than 945 is 900. The least perfect square greater than 945 is 961. 900 < 945 < 961 Write a compound inequality that compares 945with both 900 and 961. Take positive square root of each number. Find square root of each perfect square.

  3. The average of 30 and 31 is 30.5 and (30.5)2 = 930.25. Because 945 > 930.25, is closer to 31 than 30. ANSWER The side length of the tabletop is about 31 inches. EXAMPLE 2 Approximate a square root

  4. – – 8. 7. 5. 6. 103 350 32 48     EXAMPLE 2 for Example 2 Approximate a square root GUIDED PRACTICE Approximate the square root to the nearest integer. 6 10 – 7 – 19

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