Question

$< \sqrt{ 74} <$


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Answer 1

Answer:

The square root of 74 with one digit decimal accuracy is 8.6.

Step-by-step explanation:

√b = b½

√74 = 74½

• Set up 74 in pairs of two digits from right to left and attach one set of 00 because we want one decimal
• Starting with the first set: the largest perfect square less than or equal to 74 is 64, and the square root of 64 is 8. Therefore, put 8 on top and 64 at the bottom
• Calculate 74 minus 64 and put the difference below. Then move down the next set of numbers.

Double the number in green on top: 8 × 2 = 16. Then, use 16 and the bottom number to make this problem:  

16? × ? ≤ 1000

• The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 6. Now, enter 6 on top

The square root of 74 with one digit decimal accuracy is 8.6.