# Evaluate ( square root of 200)/3-( square root of 50)/4 2003-504
Simplify each term.
Simplify the numerator.
Rewrite 200 as 102⋅2.
Factor 100 out of 200.
100(2)3-504
Rewrite 100 as 102.
102⋅23-504
102⋅23-504
Pull terms out from under the radical.
1023-504
1023-504
Simplify the numerator.
Rewrite 50 as 52⋅2.
Factor 25 out of 50.
1023-25(2)4
Rewrite 25 as 52.
1023-52⋅24
1023-52⋅24
Pull terms out from under the radical.
1023-524
1023-524
1023-524
To write 1023 as a fraction with a common denominator, multiply by 44.
1023⋅44-524
To write -524 as a fraction with a common denominator, multiply by 33.
1023⋅44-524⋅33
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply 1023 and 44.
102⋅43⋅4-524⋅33
Multiply 3 by 4.
102⋅412-524⋅33
Multiply 524 and 33.
102⋅412-52⋅34⋅3
Multiply 4 by 3.
102⋅412-52⋅312
102⋅412-52⋅312
Combine the numerators over the common denominator.
102⋅4-52⋅312
Simplify the numerator.
Multiply 4 by 10.
402-52⋅312
Multiply 3 by -5.
402-15212
Subtract 152 from 402.
25212
25212
The result can be shown in multiple forms.
Exact Form:
25212
Decimal Form:
2.94627825…
Evaluate ( square root of 200)/3-( square root of 50)/4

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