SOLUTION: square root of 150 to the nearest tenth

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Question 132574This question is from textbook
: square root of 150 to the nearest tenth This question is from textbook

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12 * 12 = 144
13 * 13 = 169

144+%3C+150+%3C+169, so 12+%3C+sqrt%28150%29+%3C+13

150+-+144+=+6 and 169+-+144+=+25, so sqrt%28150%29 is close to 6%2F25 of the way from 12 to 13.

6%2F25=.24, so sqrt%28150%29 is very close to 12.24.

12.2%5E2=148.84, 150+-+148.84+=+1.16
12.3%5E2=151.29, 151.29+-+150+=+1.29

Now we know that 12.2+%3C+sqrt%28150%29+%3C+12.3 and that 12.2 is closer to sqrt%28150%29 than 12.3, so 12.2 is the square root of 150 to the nearest 10th.

Easier way:
Press 1, 5, 0, and the square root key on your calculator. Round the answer to the nearest tenth.