Question #c4b4f

1 Answer
Tarik
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#

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