# Evaluate 14/125+ square root of 5/3-11/25 14125+53-1125
Simplify each term.
Rewrite 53 as 53.
14125+53-1125
Multiply 53 by 33.
14125+53⋅33-1125
Combine and simplify the denominator.
Multiply 53 and 33.
14125+5333-1125
Raise 3 to the power of 1.
14125+53313-1125
Raise 3 to the power of 1.
14125+533131-1125
Use the power rule aman=am+n to combine exponents.
14125+5331+1-1125
Add 1 and 1.
14125+5332-1125
Rewrite 32 as 3.
Use axn=axn to rewrite 3 as 312.
14125+53(312)2-1125
Apply the power rule and multiply exponents, (am)n=amn.
14125+53312⋅2-1125
Combine 12 and 2.
14125+53322-1125
Cancel the common factor of 2.
Cancel the common factor.
14125+53322-1125
Divide 1 by 1.
14125+5331-1125
14125+5331-1125
Evaluate the exponent.
14125+533-1125
14125+533-1125
14125+533-1125
Simplify the numerator.
Combine using the product rule for radicals.
14125+5⋅33-1125
Multiply 5 by 3.
14125+153-1125
14125+153-1125
14125+153-1125
To write -1125 as a fraction with a common denominator, multiply by 55.
14125-1125⋅55+153
Write each expression with a common denominator of 125, by multiplying each by an appropriate factor of 1.
Multiply 1125 and 55.
14125-11⋅525⋅5+153
Multiply 25 by 5.
14125-11⋅5125+153
14125-11⋅5125+153
Combine the numerators over the common denominator.
14-11⋅5125+153
Simplify the numerator.
Multiply -11 by 5.
14-55125+153
Subtract 55 from 14.
-41125+153
-41125+153
Move the negative in front of the fraction.
-41125+153
The result can be shown in multiple forms.
Exact Form:
-41125+153
Decimal Form:
0.96299444…
Evaluate 14/125+ square root of 5/3-11/25

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