Solve for S s=45 square root of 150/100

Math
s=45150100
Cancel the common factor of 150 and 100.
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Factor 50 out of 150.
s=4550(3)100
Cancel the common factors.
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Factor 50 out of 100.
s=4550⋅350⋅2
Cancel the common factor.
s=4550⋅350⋅2
Rewrite the expression.
s=4532
s=4532
s=4532
Rewrite 32 as 32.
s=4532
Multiply 32 by 22.
s=45(32⋅22)
Combine and simplify the denominator.
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Multiply 32 and 22.
s=453222
Raise 2 to the power of 1.
s=4532212
Raise 2 to the power of 1.
s=45322121
Use the power rule aman=am+n to combine exponents.
s=453221+1
Add 1 and 1.
s=453222
Rewrite 22 as 2.
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Use axn=axn to rewrite 2 as 212.
s=4532(212)2
Apply the power rule and multiply exponents, (am)n=amn.
s=4532212⋅2
Combine 12 and 2.
s=4532222
Cancel the common factor of 2.
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Cancel the common factor.
s=4532222
Divide 1 by 1.
s=453221
s=453221
Evaluate the exponent.
s=45322
s=45322
s=45322
Simplify the numerator.
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Combine using the product rule for radicals.
s=453⋅22
Multiply 3 by 2.
s=4562
s=4562
Combine 45 and 62.
s=4562
The result can be shown in multiple forms.
Exact Form:
s=4562
Decimal Form:
s=55.11351921…
Solve for S s=45 square root of 150/100

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