rationalise 5+2square root 5 divided by square root 5.

please can someone help me on how to get the answer 2+square root 5

not helpful whatsoever

To rationalize the expression, we need to eliminate the square root in the denominator. The key idea is to multiply both the numerator and denominator by the conjugate of the denominator.

In this case, the denominator is √5. The conjugate of √5 is -√5, meaning that if we multiply √5 by -1, we get -√5.

So, multiply both the numerator and denominator by -√5:

(5 + 2√5) / √5 * (-√5) / (-√5)

When you multiply these terms, you get:

(-5√5 - 2 * 5) / 5

Simplifying further:

(-5√5 - 10) / 5

Factor out a -1 from the numerator:

-1 (5√5 + 10) / 5

Finally, simplify the expression:

- (5√5 + 10) / 5

Now, we can distribute the negative sign to each term in the numerator:

-5√5/5 - 10/5

Simplifying further:

-√5 - 2

So, after rationalizing the expression, we get -√5 - 2, not 2 + √5.

Please double-check your question or provide additional information if you are looking for a different answer.

(5+2√5)/√5

multiply top and bottom by √5

√5(5+2√5)/(√5√5)
=(5√5 + 10)/5
= 5(√5+2)/5
= √5 + 2