4. Simplify. (Image: start-fraction 2 over start root 5 end root end-fraction) (1 point)
(Image)
(Image: Start Root 10 End Root)
(Image: Start Fraction Start Root 10 End Root over 5 End Fraction)
(Image: Start Fraction 2 Start Root 5 End Root over 5 End Fraction)
2/√5 = 2√5/5
That is correct! Well done.
To simplify the expression (2/√5), let's start by rationalizing the denominator.
Given the expression (2/√5), we can multiply both the numerator and the denominator by the conjugate of the denominator. The conjugate of the denominator is the term with the opposite sign in the radical, which in this case is (√5).
So, [(2/√5) * (√5/√5)] = (2√5/5)
Thus, the simplified expression is (2√5/5).
Please note that the simplified expression (2√5/5) cannot be further simplified because there are no common factors between the numerator and the denominator.