solve for x: sqrt{5-sqrt{x+3}}=2

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solve for x: sqrt{5-sqrt{x+3}}=2

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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\[\sqrt{5 -\sqrt{x+3}}=2 \] square both sides \[5-\sqrt{x+3}=2\] Subtract 5 on both sides \[-\sqrt{x+3}=2-5\] \[-\sqrt{x+3}=-3\] now square both sides
\[x+3=9\] not subtract 3 on both sides
be sure to plug in the result to check

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Other answers:

shouldn't it be a 4 on your second step
You forgot to square the 2 :P
yep
\[5-\sqrt{x+3}=4\]*
\[-\sqrt{x+3}=4-5\]
\[- \sqrt{x+3}=-1\] now square both sides
\[x+3=1 => x=-2\] not check this to make sure it is the solution thanks guy for making me aware of my mistake :)
now*
ahh thank you! the step by step way helped a lot!
lol great! :)

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