Ok I Get everything up until the point where it says. k $\sqrt{k+1}$ + $\sqrt{k+1}$ = (k+1) $\sqrt{k+1}$ How in the world did they get there? Or am I missing something else
2026-04-01 03:05:01.1775012701
Induction/More so A question about simplifying square roots
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1
Just factor out a $\sqrt{k+1}$ from the left hand side. This yields $(k+1)\sqrt{k+1}$ which is what they claim.