# The square root of a number is between 7 and 8. Which could be the number? *

The square root of a number is between 7 and 8. Which could be the number? *
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Clara Reese

Let x be the number. If the square root of the number is between 7 and 8, then $7<\sqrt{x}<8$.
Squaring all sides of the inequality gives ${7}^{2}<{\sqrt{x}}^{2}<{8}^{2}$, which simplifies to $49x can then be any number such that $49.