# Evaluate square root of 4/7* square root of 2/35

47⋅235
Combine using the product rule for radicals.
47⋅235
Multiply 47 and 235.
4⋅27⋅35
Multiply.
Multiply 4 by 2.
87⋅35
Multiply 7 by 35.
8245
8245
Rewrite 8245 as 8245.
8245
Simplify the numerator.
Rewrite 8 as 22⋅2.
Factor 4 out of 8.
4(2)245
Rewrite 4 as 22.
22⋅2245
22⋅2245
Pull terms out from under the radical.
22245
22245
Simplify the denominator.
Rewrite 245 as 72⋅5.
Factor 49 out of 245.
2249(5)
Rewrite 49 as 72.
2272⋅5
2272⋅5
Pull terms out from under the radical.
2275
2275
Multiply 2275 by 55.
2275⋅55
Combine and simplify the denominator.
Multiply 2275 and 55.
225755
Move 5.
2257(55)
Raise 5 to the power of 1.
2257(515)
Raise 5 to the power of 1.
2257(5151)
Use the power rule aman=am+n to combine exponents.
225751+1
Add 1 and 1.
225752
Rewrite 52 as 5.
Use axn=axn to rewrite 5 as 512.
2257(512)2
Apply the power rule and multiply exponents, (am)n=amn.
2257⋅512⋅2
Combine 12 and 2.
2257⋅522
Cancel the common factor of 2.
Cancel the common factor.
2257⋅522
Divide 1 by 1.
2257⋅51
2257⋅51
Evaluate the exponent.
2257⋅5
2257⋅5
2257⋅5
Simplify the numerator.
Combine using the product rule for radicals.
25⋅27⋅5
Multiply 5 by 2.
2107⋅5
2107⋅5
Multiply 7 by 5.
21035
The result can be shown in multiple forms.
Exact Form:
21035
Decimal Form:
0.18070158…
Evaluate square root of 4/7* square root of 2/35

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