Respuesta :
multiply both nominator and denominator by √5
(7*√5)/(√5*√5)=7√5/5
7√5/5
(7*√5)/(√5*√5)=7√5/5
7√5/5
Answer:
The expression equivalent to the given expression is: [tex]\frac{7\sqrt{5} }{5}[/tex]
Step-by-step explanation:
We are given the expression as [tex]\frac{7}{\sqrt{5} }[/tex]
we will multiply and divide by [tex]\sqrt{5}[/tex] i.e. we use the method of "rationalizing a denominator"( the method used to remove a square root or a cube root from the denominator) to obtain the following expression: [tex]\frac{7\sqrt{5} }{5}[/tex]
Hence, the expression equivalent to [tex]\frac{7}{\sqrt{5} }[/tex] is [tex]\frac{7\sqrt{5} }{5}[/tex].