Evaluate 4* square root of 75/49-( square root of 8)/( square root of 18)

Math
4⋅7549-818
Rewrite 7549 as 7549.
4⋅7549-818
Simplify the numerator.
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Rewrite 75 as 52⋅3.
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Factor 25 out of 75.
4⋅25(3)49-818
Rewrite 25 as 52.
4⋅52⋅349-818
4⋅52⋅349-818
Pull terms out from under the radical.
4⋅5349-818
4⋅5349-818
Simplify the denominator.
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Rewrite 49 as 72.
4⋅5372-818
Pull terms out from under the radical, assuming positive real numbers.
4⋅537-818
4⋅537-818
Multiply 4537.
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Combine 4 and 537.
4(53)7-818
Multiply 5 by 4.
2037-818
2037-818
Combine 8 and 18 into a single radical.
2037-818
Cancel the common factor of 8 and 18.
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Factor 2 out of 8.
2037-2(4)18
Cancel the common factors.
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Factor 2 out of 18.
2037-2⋅42⋅9
Cancel the common factor.
2037-2⋅42⋅9
Rewrite the expression.
2037-49
2037-49
2037-49
Rewrite 49 as 49.
2037-49
Simplify the numerator.
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Rewrite 4 as 22.
2037-229
Pull terms out from under the radical, assuming positive real numbers.
2037-29
2037-29
Simplify the denominator.
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Rewrite 9 as 32.
2037-232
Pull terms out from under the radical, assuming positive real numbers.
2037-23
2037-23
The result can be shown in multiple forms.
Exact Form:
2037-23
Decimal Form:
4.28204992…
Evaluate 4* square root of 75/49-( square root of 8)/( square root of 18)

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