Question

Find square root of 9-4 root 5

Answer 1

Answer:

9−4

5

=4+5−4

5

=2

2

+(

5

)

2

−(2×2×

5

)

=(2−

5

)

2

∴

9−4

5

=2−

5

OR

\begin{lgathered}9 - 4\sqrt{5} \\ \\ = 4 + 5 - 4\sqrt{5} \\ \\ = (- 2)^2 + (\sqrt{5})^2 + (2 \times - 2 \times \sqrt{5}) \\ \\ = (- 2 + \sqrt{5})^2 \\ \\ = (\sqrt{5} - 2)^2 \\ \\ \\ \therefore \sqrt{9 - 4\sqrt{5}} = \sqrt{5} - 2\end{lgathered}

9−4

5

=4+5−4

5

=(−2)

2

+(

5

)

2

+(2×−2×

5

)

=(−2+

5

)

2

=(

5

−2)

2

∴

9−4

5

=

5

−2

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Step-by-step explanation:

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