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Earn +20 ptsQ: What does the sqrt of 53 lie between?
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How many prime numbers lie between 50 and 60?
Only two prime numbers lie between 50 and 60. They are 53 and 59.
What is the smallest number which 42000 must be multiplied for the result to be a square number?
Let's call this number b 42000 = 24 x 3 x 53 x 7 We have 42000 x b = a2 and a is an integer Then a = sqrt(42000 x b) = sqrt(b) x sqrt(24 x 3 x 53 x 7) sqrt(24 x 3 x 53 x 7) = 22 x sqrt(3) x 5 x sqrt(5) x sqrt(7) For a to be an integer sqrt(b) must be sqrt(3) x sqrt(5) x sqrt(7) at least Thus b = 105
What square roots lie between 5 and 6?
Counting only integer square roots, since sqrt(5) is equal to ±25 and sqrt(6) is equal to ±36, the square roots of the integers between 25 and 36, and between -36 and -25, are between 5 and 6 inclusive.
What 2 integers are between the square root of 59?
-sqrt(59) < -3, 6 < sqrt(59)
What is the geometric mean between 6 and 10?
sqrt(6*10) = sqrt(60) = 7.75 (approx)
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