Question

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

Answer 1

\[\sqrt{5 -\sqrt{x+3}}=2 \]
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

Answer 2

\[x+3=9\]
not subtract 3 on both sides

Answer 3

be sure to plug in the result to check

Answer 4

shouldn't it be a 4 on your second step

Answer 5

You forgot to square the 2 :P

Answer 6

yep

Answer 7

\[5-\sqrt{x+3}=4\]*

Answer 8

\[-\sqrt{x+3}=4-5\]

Answer 9

\[- \sqrt{x+3}=-1\]
now square both sides

Answer 10

\[x+3=1 => x=-2\]
not check this to make sure it is the solution
thanks guy for making me aware of my mistake :)

Answer 11

now*

Answer 12

ahh thank you! the step by step way helped a lot!

Answer 13

lol great! :)