How do you simplify #sqrt98+4sqrt18#?

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Answer 1 · 2016-09-16T11:50:21

#19 sqrt(2)#

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)#