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Simplify the problem

Simplify the problem-example-1

1 Answer

2 votes

Answer:


√(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.

User Glennanthonyb
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