Question

Which expression is equal to 5/(sqrt)11?

a) 5(sqrt)11/11
b) (sqrt)5/11
c) (sqrt)55/11
d) 25/11
please help, I'm confused.

Answer 1

5/√11
In this case:
if you want to delete the roots in the denominator you have to multiply the numerator and the denominator by √11; therefore:
(5/√11)(√11/√11)=5√11/11.

answer; a)5√11/11

Answer 2

Option A is correct

the expression is equal to
`(5)/( √(11))` is
`\frac{5√(11)} {11}`

Step-by-step explanation:

Given expression is,
`(5)/( √(11))`

Multiply and divide by the denominator by
`√(11)` in the given expression, we have,

`(5)/(√(11)) * \frac{√(11)} { √(11)}`

or

`\frac{5 \cdot √(11)} {√(11) \cdot √(11)}`

use :
`√(a)\cdot√(a)=(√(a) )^2 = a`

then;

`\frac{5√(11)} { (√(11))^2} =\frac{5√(11)} {11}`

Therefore, the expression is equal to
`(5)/( √(11))` is,
`\frac{5√(11)} {11}`