Answer:
[tex]The\ simplified\ form\ \sqrt{100x^{36}}\ is\ 10x^{18}.[/tex]
Option (a) is correct.
Step-by-step explanation:
As given in the question the expreession is as follows .
[tex]= \sqrt{100x^{36}}[/tex]
As
[tex]\sqrt{100} = 10[/tex]
[tex]\sqrt{x^{36}} =\sqrt{x^{18}.x^{18}} = x^{18}[/tex]
[tex](By\ using\ property\ x^{a+ b} = x^{a}.x^{b})[/tex]
Now put the above expression given in the question .
[tex]= 10x^{18}[/tex]
[tex]Therefore\ the\ simplified\ form\ \sqrt{100x^{36}}\ is\ 10x^{18}.[/tex]
