How do you simplify #-5/(2sqrt112)#?

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Answer 1 · 2016-08-06T01:46:52

#(-5sqrt(7))/56#

#-5/(2sqrt(112))#

Rationalise the denominator:
#(-5sqrt(112))/(2sqrt(112)sqrt(112)# #= (-5sqrt(112))/(2*112)#

Express the #sqrt(112)# as the root of the product of prime numbers:

#= (-5*sqrt(2*2*2*2*7))/224#

Each pair of primes may be taken out of the #sqrt#

#=(-5*2*2sqrt(7))/224#

#=(-5sqrt(7))/56#