Answer:
(5, 6)
Step-by-step explanation:
[tex]x=\sqrt{6}+\sqrt{7}\approx2.45+2.65\approx 5.10\\\\\boxed{5<x<6}[/tex]
I evaluated the expression on my calculator.
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You can guess that the sum is nearly 2√6.5 = √26. This is between √5² and √6², so the root is likely between 5 and 6.
