Question

Find the square root of: 17 137/256.

Answer 1

Answer:

$\sqrt{17 \frac{137}{256} }$

$\sqrt{ \frac{17 \times 137 + 256}{256} }$

$\sqrt{ \frac{4352 + 256}{256} }$

$\sqrt{ \frac{4489}{256} }$

$\frac{ \sqrt{4489} }{ \sqrt{256} }$

$\frac{67}{ \sqrt{256} }$

$\frac{67}{16}$

$4 \frac{3}{16}$

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Answer 2

Step-by-step explanation:

$\sqrt{17 \frac{137}{256} }$

$= \sqrt{ \frac{17 \times 256 + 137}{256} }$

$= \sqrt{ \frac{4489}{256} }$

$= \frac{67}{16} = 4 \frac{3}{16}$

$so \sqrt{17 \frac{137}{256} } = \frac{67}{16} = 4 \frac{3}{16}$