Prove there is a real number c between 2.64 and 2.65 for which c^2=7

asked Oct 17, 2024 91.6k views

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Answer:

Hi,

Explanation:

$6.9696\leq 7\leq 7.0225\\\\\Longrightarrow\ √(6.9696) \leq √(7)=c\leq √(7.0225) \\\\\Longrightarrow\ 2.64 \leq c\leq 2.65 \\$

because the square root function is an continuous increasing function.

Anyavacy answered Oct 22, 2024

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