# Evaluate 1/(1- square root of 2)-1/( square root of 2-1)

11-2-12-1
Simplify each term.
Multiply 11-2 by 1+21+2.
11-2⋅1+21+2-12-1
Multiply 11-2 and 1+21+2.
1+2(1-2)(1+2)-12-1
Expand the denominator using the FOIL method.
1+21+2-2-22-12-1
Simplify.
1+2-1-12-1
Move the negative one from the denominator of 1+2-1.
-1⋅(1+2)-12-1
Rewrite -1⋅(1+2) as -(1+2).
-(1+2)-12-1
Apply the distributive property.
-1⋅1-2-12-1
Multiply -1 by 1.
-1-2-12-1
Simplify the denominator.
Subtract 1 from 2.
-1-2-11
Any root of 1 is 1.
-1-2-11
-1-2-11
Divide 1 by 1.
-1-2-1⋅1
Multiply -1 by 1.
-1-2-1
-1-2-1
Subtract 1 from -1.
-2-2
The result can be shown in multiple forms.
Exact Form:
-2-2
Decimal Form:
-3.41421356…
Evaluate 1/(1- square root of 2)-1/( square root of 2-1)

### Solving MATH problems

We can solve all math problems. Get help on the web or with our math app

Scroll to top