Simplify 1/( square root of 5-2)

Math
15-2
Subtract 2 from 5.
13
Multiply 13 by 33.
13⋅33
Combine and simplify the denominator.
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Multiply 13 and 33.
333
Raise 3 to the power of 1.
3313
Raise 3 to the power of 1.
33131
Use the power rule aman=am+n to combine exponents.
331+1
Add 1 and 1.
332
Rewrite 32 as 3.
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Use axn=axn to rewrite 3 as 312.
3(312)2
Apply the power rule and multiply exponents, (am)n=amn.
3312⋅2
Combine 12 and 2.
3322
Cancel the common factor of 2.
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Cancel the common factor.
3322
Divide 1 by 1.
331
331
Evaluate the exponent.
33
33
33
The result can be shown in multiple forms.
Exact Form:
33
Decimal Form:
0.57735026…
Simplify 1/( square root of 5-2)

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