How do you simplify #sqrt98+4sqrt18#?

1 Answer
Sep 16, 2016

Answer:

#19 sqrt(2)#

Explanation:

We have: #sqrt(98) + 4 sqrt(18)#

Let's express the radicals as product:

#= sqrt(49 cdot 2) + 4 sqrt(9 cdot 2)#

#= sqrt(7 cdot 7 cdot 2) + 4 sqrt(3 cdot 3 cdot 2)#

#= sqrt(7^(2)) cdot sqrt(2) + 4 cdot sqrt(3^(2)) sqrt(2)#

#= 7 sqrt(2) + 4 cdot 3 cdot sqrt(2)#

#= 7 sqrt(2) + 12 sqrt(2)#

#= 19 sqrt(2)#