how to do radicals? please help!

Question

√112

 

√98

 

√5/7

 

please help me with step by step i just don't understand this

 

 

Answer 1

The trick is to factorize the numbers in the radical:

 

√112 = √(2*56) = √(2*2*28) = √(2*2*2*14) = √(2*2*2*2*7) = √(2⁴)*7 = 2^4/2*√7

 

√112 = 2²*√7  = 4*√7

 

 

√98 = √(2*49) = √(2*7*7) = √(2*7²) = 7√2

 

 

I am not sure if the last one √5/7 is correctly written. But, you can use the same procedure.