How do you simplify #sqrt45+sqrt80#?

2 Answers
Mar 9, 2018

Answer:

#sqrt(40)+sqrt(80)=color(red)(7sqrt(5))#

Explanation:

#45=5xx9=5xx3^2color(white)("xxx")rarrcolor(white)("xxx")sqrt(45)=3sqrt(5)#

#80=5xx16=5xx4^2color(white)("xx")rarrcolor(white)("xxx")sqrt(80)=4sqrt(5)#

#rArr sqrt(40)+sqrt(80#

#color(white)("XXX")=3sqrt(5)+4sqrt(5)#

#color(white)("XXX")=7sqrt(5)#

Mar 9, 2018

Answer:

#7sqrt5#

Explanation:

#sqrt45+sqrt80#

#:.=sqrt(3*3*5)+sqrt(2*2*2*2*5)#

#:.sqrt2xxsqrt2=2#

#:.sqrt3xxsqrt3=3#

#:.=3sqrt5+4sqrt5#

#:.=7sqrt5#

~~~~~~~~~~~
check:-

#sqrt45=6.708203933+sqrt80=8.94427191#

#6.708203933+8.94427191=15.65247584#

#7sqrt5=15.65247584#