Simplify square root of (3st^3)/5

Math
3st35
Rewrite 3st35 as 3st35.
3st35
Simplify the numerator.
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Rewrite 3st3 as t2⋅(3st).
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Factor out t2.
3s(t2t)5
Move s.
3t2st5
Reorder 3 and t2.
t2⋅3st5
Add parentheses.
t2⋅3(st)5
Add parentheses.
t2⋅(3st)5
t2⋅(3st)5
Pull terms out from under the radical.
t3st5
t3st5
Multiply t3st5 by 55.
t3st5⋅55
Combine and simplify the denominator.
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Multiply t3st5 and 55.
t3st555
Raise 5 to the power of 1.
t3st5515
Raise 5 to the power of 1.
t3st55151
Use the power rule aman=am+n to combine exponents.
t3st551+1
Add 1 and 1.
t3st552
Rewrite 52 as 5.
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Use axn=axn to rewrite 5 as 512.
t3st5(512)2
Apply the power rule and multiply exponents, (am)n=amn.
t3st5512⋅2
Combine 12 and 2.
t3st5522
Cancel the common factor of 2.
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Cancel the common factor.
t3st5522
Divide 1 by 1.
t3st551
t3st551
Evaluate the exponent.
t3st55
t3st55
t3st55
Simplify the numerator.
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Combine using the product rule for radicals.
t5(3st)5
Multiply 3 by 5.
t15st5
t15st5
Simplify square root of (3st^3)/5

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