What is the square root of 21 + square root of 35?

1 Answer
Jan 6, 2016

#sqrt(7)(sqrt(3)+sqrt(5))##~~ 10.5#

Explanation:

Factor the numbers to see if there are any common values that can be extracted.
#sqrt(21) +sqrt(35) = sqrt(7*3) +sqrt(7*5)#
#sqrt(7)(sqrt(3)+sqrt(5))#
#7, 3 # and #5# are all prime numbers so the only was this can be taken further is by looking up the values
#~~2.65(1.73 + 2.24)#
#~~ 10.5#