Between what two consecutive integers does √35 lie?

a.
4 and 5

b.
5 and 6

c.
6 and 7

d.
7 and 8

The answer is simple: between 5 and 6. The way you find this is you take the nearest perfect square less than 35 and greater than 35. The nearest perfect square less than 35 is 25 and the nearest perfect square greater than 35 is 36. The square roots of both are respectively 5 and 6. Therefore, the square root of 35 must lie between 5 and 6.

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