Find all the numbers less than 400 which have
whole number square roots. What is the answer?
Please tell me
Answers
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Step-by-step explanation:
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Answer:
There are 19 numbers less than 400 with whole number square roots which are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361
Step-by-step explanation:
We can solve this problem by considering all perfect squares less than 400 and then listing their square roots.
The largest perfect square less than 400 is 19^2 = 361, so we can consider all perfect squares from 1^2 = 1 to 19^2 = 361. The square roots of these perfect squares are whole numbers, and they are:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19
Therefore, the numbers less than 400 with whole number square roots are:
1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2, 8^2, 9^2, 10^2, 11^2, 12^2, 13^2, 14^2, 15^2, 16^2, 17^2, 18^2, 19^2
which are:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361
Therefore, there are 19 numbers less than 400 with whole number square roots.
To learn more about square roots: https://brainly.in/question/46959558
To learn more about powers: https://brainly.in/question/811144
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