Another crazy one...
3sqrt5y^5 divided by 6sqrt20xy
For this
3 square root 5y^5
___________________
6 square root 20xy
you can reduce the 3/6 to 1/2
then you can go and split up the bottom denominator of square root 20 into square root of 5y * square root of 4x and cancel out the sqrt 5y on both top and bottom ...remembering to subtract the y's when dividing the top by the bottom and thus subtracting the larger power y from the lower power y on the bottom getting y^4 on the top.
then you'd have:
(y^4/ sqrt 4x)(1/2) then get
y^4/4
That's it I think
For this
3 square root 5y^5
___________________
6 square root 20xy
you can reduce the 3/6 to 1/2
then you can go and split up the bottom denominator of square root 20 into square root of 5y * square root of 4x and cancel out the sqrt 5y on both top and bottom ...remembering to subtract the y's when dividing the top by the bottom and thus subtracting the larger power y from the lower power y on the bottom getting y^4 on the top.
then you'd have:
(y^4/ sqrt 4x)(1/2) then get
y^4/4
That's it I think
To simplify the expression (3√5y^5) / (6√20xy), you can follow these steps:
1. Reduce the fraction: Since both the numerator and the denominator have a common factor of 3, you can simplify the fraction by reducing 3/6 to 1/2.
So, the expression becomes (√5y^5) / (2√20xy).
2. Split the denominator: The denominator, √20xy, can be split as √(5y) * √(4x). This is because 20 can be factored as 5 * 4, and the square root of the product is equal to the product of the square roots.
The expression now becomes (√5y^5) / (2√(5y) * √(4x)).
3. Cancel out common factors: Since both the numerator and the denominator have a square root of 5y, these can be canceled out.
Now, the expression simplifies to y^4 / (2√(4x)).
4. Simplify the denominator: The square root of 4 is 2, so the denominator becomes 2 * √x.
The final simplified expression is y^4 / (2 * 2√x), which can be further simplified to y^4 / (4√x) or y^4 / 4√x.