If the time period of simple harmonic motion of the rectangular block can be represented as
\[T=2\pi \sqrt{\frac{am}{bk}}\] for coprime positive integers \(a,b\).

Find \(\sqrt{a^2+b^2}\) up to two decimal places.

**Details and Assumptions**

- Pulley is smooth and massless, and the strings are light and inextensible.
- Gravity is present.
- The crooked lines in the figure represents springs of spring constant \(k\) and \(2k\) as shown.

-Take the amplitude of oscillations to be very small.

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