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Question

Which of these numbers is greater than 6 but less than 7 ? A. $\sqrt{6.5}$ B. $\sqrt{67}$ C. $\sqrt{45}$ D. $\sqrt{76}$

Solution

VerifiedStep 1

1 of 2Since $6^2=36$ and $7^2=49$, then $6=\sqrt{36}$ and $7=\sqrt{49}$. You therefore need to find what number is between $\sqrt{36}$ and $\sqrt{49}$. From the answer choices, only $\sqrt{45}$ lies between $\sqrt{36}$ and $\sqrt{49}$ so the correct answer is C. $\sqrt{45}$.

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