Basic Math Examples

Evaluate 3/( square root of 28)
328328
Step 1
Simplify the denominator.
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Step 1.1
Rewrite 2828 as 227227.
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Step 1.1.1
Factor 44 out of 2828.
34(7)34(7)
Step 1.1.2
Rewrite 44 as 2222.
32273227
32273227
Step 1.2
Pull terms out from under the radical.
327327
327327
Step 2
Multiply 327327 by 7777.
3277732777
Step 3
Combine and simplify the denominator.
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Step 3.1
Multiply 327327 by 7777.
3727737277
Step 3.2
Move 77.
372(77)372(77)
Step 3.3
Raise 77 to the power of 11.
372(717)372(717)
Step 3.4
Raise 77 to the power of 11.
372(7171)372(7171)
Step 3.5
Use the power rule aman=am+naman=am+n to combine exponents.
37271+137271+1
Step 3.6
Add 11 and 11.
3727237272
Step 3.7
Rewrite 7272 as 77.
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Step 3.7.1
Use nax=axnnax=axn to rewrite 77 as 712712.
372(712)2372(712)2
Step 3.7.2
Apply the power rule and multiply exponents, (am)n=amn(am)n=amn.
37271223727122
Step 3.7.3
Combine 1212 and 22.
372722372722
Step 3.7.4
Cancel the common factor of 22.
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Step 3.7.4.1
Cancel the common factor.
372722
Step 3.7.4.2
Rewrite the expression.
37271
37271
Step 3.7.5
Evaluate the exponent.
3727
3727
3727
Step 4
Multiply 2 by 7.
3714
Step 5
The result can be shown in multiple forms.
Exact Form:
3714
Decimal Form:
0.56694670
 [x2  12  π  xdx ]