Basic Math Examples

Simplify square root of 112/12
1121211212
Step 1
Cancel the common factor of 112112 and 1212.
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Step 1.1
Factor 44 out of 112112.
4(28)124(28)12
Step 1.2
Cancel the common factors.
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Step 1.2.1
Factor 44 out of 1212.
4284342843
Step 1.2.2
Cancel the common factor.
42843
Step 1.2.3
Rewrite the expression.
283
283
283
Step 2
Rewrite 283 as 283.
283
Step 3
Simplify the numerator.
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Step 3.1
Rewrite 28 as 227.
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Step 3.1.1
Factor 4 out of 28.
4(7)3
Step 3.1.2
Rewrite 4 as 22.
2273
2273
Step 3.2
Pull terms out from under the radical.
273
273
Step 4
Multiply 273 by 33.
27333
Step 5
Combine and simplify the denominator.
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Step 5.1
Multiply 273 by 33.
27333
Step 5.2
Raise 3 to the power of 1.
273313
Step 5.3
Raise 3 to the power of 1.
2733131
Step 5.4
Use the power rule aman=am+n to combine exponents.
27331+1
Step 5.5
Add 1 and 1.
27332
Step 5.6
Rewrite 32 as 3.
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Step 5.6.1
Use nax=axn to rewrite 3 as 312.
273(312)2
Step 5.6.2
Apply the power rule and multiply exponents, (am)n=amn.
2733122
Step 5.6.3
Combine 12 and 2.
273322
Step 5.6.4
Cancel the common factor of 2.
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Step 5.6.4.1
Cancel the common factor.
273322
Step 5.6.4.2
Rewrite the expression.
27331
27331
Step 5.6.5
Evaluate the exponent.
2733
2733
2733
Step 6
Simplify the numerator.
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Step 6.1
Combine using the product rule for radicals.
2373
Step 6.2
Multiply 3 by 7.
2213
2213
Step 7
The result can be shown in multiple forms.
Exact Form:
2213
Decimal Form:
3.05505046
 [x2  12  π  xdx ]