How do you simplify #sqrt(x+1)=5#?

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Answer 1 · 2018-03-22T04:37:08

#x=24#

I'm assuming you mean solve, so here's what you do:

Square both sides to get

#x+1=25#

Subtract #1# from both sides to get

#x=24#

Answer 2 · 2018-03-22T04:38:05

#x=24#

To solve this equation for #x#, we need to first get rid of the #sqrt#.

To do this, we need only square the entirety of the #sqrt#. Remember, however, that what we do on one side, we must do on the other.

So it should now look like:

#sqrt(x+1)=5#

#=> (sqrt(x+1))^2=5^2#

#=> x+1=25#

Now we just solve for #x# as we would normally:

#x+1=25#

#=> x+1-1=25-1#

#=> x=24#