Question #c4b4f

1 Answer
Jul 28, 2017

29sqrty

Explanation:

3× sqrt(9y) + 4× sqrt(25y) =

Let's expand numbers as much as possible:
= 3× sqrt(3×3×y) + 4×sqrt(5×5×y)=

Now, we have a square root and therefore we have to find a squared number within the square root so that we can cancel them and take the number outside the square root.
=3×sqrt(3^2×y) + 4×sqrt(5^2×y)=

The exponent number of 2 has canceled the square root so we can write:
=3×3×sqrty + 4×5×sqrty=

Now, do the multiplication:
=9×sqrty+20×sqrty=

Factorise:
=sqrty(9+20)=

Result:
=sqrty(29)= or
=29×sqrty or
=29sqrty