The square root of 88 is [tex]2\sqrt{22}[/tex]
Working:
As prime factorization of 88 is = 2³*11
here, 88 divides by 2, it becomes= 2*44
44 divides by 2 = 2*22, so 88 becomes 2*2*22
22 divides by 2 = 2*11, so 88 becomes 2*2*2*11
This gives us 2³*11
now, square root of this is:
[tex]\sqrt{2*2*2*11}[/tex]
= [tex]\sqrt{2^{2}} *\sqrt{2*11}[/tex]
As, [tex]\sqrt{2^{2}}[/tex]=2
Final solution becomes:
[tex]2\sqrt{2*11}[/tex]
= [tex]2\sqrt{22}[/tex]
