Question

Simplify the problem

Answer 1

`√(5)`

Explanation:

Given expression:

`(5)/(√(5))`

To simplify the given expression, we can rationalize the denominator by multiplying both the numerator and the denominator by √5. This eliminates the square root from the denominator:

`\begin{aligned}(5)/(√(5)) * (√(5))/(√(5)) &= (5 √(5))/(√(5)√(5))\\\\&=(5√(5))/(√(5 * 5))\\\\&=(5√(5))/(√(5^2))\\\\&=(5√(5))/(5)\end{aligned}`

Now, we can simplify further by cancelling the common factor of 5 in the numerator and denominator:

`\begin{aligned}&=(\diagup\!\!\!\!5√(5))/(\diagup\!\!\!\!5)\\\\&=√(5)\end{aligned}`

Therefore, 5/√5 simplifies to √5.