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antiseptic1488 [7]
3 years ago
7

Find two consecutive whole numbers that the square root of 105 lies between

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Answer: 10 and 11, also -11 and -10

Sqrt 100 is well known to be 10

Sqrt 121 is 11

Step-by-step explanation:

Positive Sqrt is monotone increasing

So Sqrt 105 is between sqrt 100 and sqrt 121


Second answer

Sqrt 100 is less well known to also be -10

Negative sqrt is monotone decreasing

Sqrt 121 is also -11

Sqrt 105 is also between -121 and -100

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