Simplify 1/( square root of 5)-( square root of 5)/( square root of 5)

Math
15-55
Multiply 15 by 55.
15⋅55-55
Combine and simplify the denominator.
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Multiply 15 and 55.
555-55
Raise 5 to the power of 1.
5515-55
Raise 5 to the power of 1.
55151-55
Use the power rule aman=am+n to combine exponents.
551+1-55
Add 1 and 1.
552-55
Rewrite 52 as 5.
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Use axn=axn to rewrite 5 as 512.
5(512)2-55
Apply the power rule and multiply exponents, (am)n=amn.
5512⋅2-55
Combine 12 and 2.
5522-55
Cancel the common factor of 2.
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Cancel the common factor.
5522-55
Divide 1 by 1.
551-55
551-55
Evaluate the exponent.
55-55
55-55
55-55
Cancel the common factor of 5.
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Cancel the common factor.
55-55
Divide 1 by 1.
55-1⋅1
55-1⋅1
Multiply -1 by 1.
55-1
The result can be shown in multiple forms.
Exact Form:
55-1
Decimal Form:
-0.55278640…
Simplify 1/( square root of 5)-( square root of 5)/( square root of 5)

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