find the square root of following decimal numbers by division method 99.99
Answers
Question:
Find the square root of 99 by long division method
Answer:
⇒ 9.9
Step-by-step explanation:
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Set up 99 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:
__ __
99 00
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Starting with the first set: the largest perfect square less than or equal to 99 is 81, and the square root of 81 is 9. Therefore, put 9 on top and 81 at the bottom
9
__ __
99 00
81
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Calculate 99 minus 81 and put the difference below. Then move down the next set of numbers.
9
__ __
99 00
81
__ __
18 00
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Double the number in green on top: 9 × 2 = 18. Then, use 18 and the bottom number to make this problem:
18? × ? ≤ 1800
9 9
__ __
99 00
81
__ __
18 00
∴√99 = 9.9
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