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

Answer 1

Isaiah Anthony

#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#

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Answer 2

Savannah Anderson

#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#

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Answer 3

Nathan Axel

To simplify the equation sqrt(x+1)=5, we need to isolate the variable x. To do this, we can square both sides of the equation. By squaring both sides, we eliminate the square root on the left side, leaving us with x+1=25. Next, we can subtract 1 from both sides to isolate x, giving us x=24. Therefore, the simplified solution to the equation sqrt(x+1)=5 is x=24.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.