Simplify ( square root of 56z^5y^6)/( square root of 2y^4)

Math
56z5y62y4
Combine 56z5y6 and 2y4 into a single radical.
56z5y62y4
Reduce the expression 56z5y62y4 by cancelling the common factors.
Tap for more steps…
Factor 2 out of 56z5y6.
2(28z5y6)2y4
Factor 2 out of 2y4.
2(28z5y6)2(y4)
Cancel the common factor.
2(28z5y6)2y4
Rewrite the expression.
28z5y6y4
28z5y6y4
Reduce the expression by cancelling the common factors.
Tap for more steps…
Reduce the expression 28z5y6y4 by cancelling the common factors.
Tap for more steps…
Factor y4 out of 28z5y6.
y4(28z5y2)y4
Multiply by 1.
y4(28z5y2)y4⋅1
Cancel the common factor.
y4(28z5y2)y4⋅1
Rewrite the expression.
28z5y21
28z5y21
Divide 28z5y2 by 1.
28z5y2
28z5y2
Rewrite 28z5y2 as (2z2y)2⋅(7z).
Tap for more steps…
Factor 4 out of 28.
4(7)z5y2
Rewrite 4 as 22.
22⋅7z5y2
Factor out z4.
22⋅7(z4z)y2
Rewrite z4 as (z2)2.
22⋅7((z2)2z)y2
Move z.
22⋅7(z2)2y2z
Move 7.
22(z2)2y2⋅7z
Rewrite (22((z2)2))y2 as (2z2y)2.
(2z2y)2⋅7z
Add parentheses.
(2z2y)2⋅(7z)
(2z2y)2⋅(7z)
Pull terms out from under the radical.
2z2y7z
Simplify ( square root of 56z^5y^6)/( square root of 2y^4)

Solving MATH problems

We can solve all math problems. Get help on the web or with our math app

Scroll to top