Simplify square root of (5/8-9/16)÷(1+9/16)

Math
(58-916)÷(1+916)
To write 58 as a fraction with a common denominator, multiply by 22.
58⋅22-9161+916
Write each expression with a common denominator of 16, by multiplying each by an appropriate factor of 1.
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Multiply 58 and 22.
5⋅28⋅2-9161+916
Multiply 8 by 2.
5⋅216-9161+916
5⋅216-9161+916
Combine the numerators over the common denominator.
5⋅2-9161+916
Simplify the numerator.
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Multiply 5 by 2.
10-9161+916
Subtract 9 from 10.
1161+916
1161+916
Write 1 as a fraction with a common denominator.
1161616+916
Combine the numerators over the common denominator.
11616+916
Add 16 and 9.
1162516
Multiply the numerator by the reciprocal of the denominator.
116⋅1625
Cancel the common factor of 16.
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Cancel the common factor.
116⋅1625
Rewrite the expression.
125
125
Rewrite 125 as 125.
125
Any root of 1 is 1.
125
Simplify the denominator.
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Rewrite 25 as 52.
152
Pull terms out from under the radical, assuming positive real numbers.
15
15
The result can be shown in multiple forms.
Exact Form:
15
Decimal Form:
0.2
Simplify square root of (5/8-9/16)÷(1+9/16)

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