Fill in the blanks to make the following statement true:
$\sqrt{1 \frac{25}{144}} = \ldots$
$\sqrt{1 \frac{25}{144}} = \ldots$
(1 1/12) First,convert the mixed fraction into an improper fraction:
$1 \frac{25}{144} = \frac{1 \times 144 + 25}{144} = \frac{144 + 25}{144} = \frac{169}{144}$
Now,take the square root of the improper fraction:
$\sqrt{\frac{169}{144}} = \frac{\sqrt{169}}{\sqrt{144}} = \frac{13}{12}$
Finally,convert the improper fraction back into a mixed fraction:
$\frac{13}{12} = 1 \frac{1}{12}$
$1 \frac{25}{144} = \frac{1 \times 144 + 25}{144} = \frac{144 + 25}{144} = \frac{169}{144}$
Now,take the square root of the improper fraction:
$\sqrt{\frac{169}{144}} = \frac{\sqrt{169}}{\sqrt{144}} = \frac{13}{12}$
Finally,convert the improper fraction back into a mixed fraction:
$\frac{13}{12} = 1 \frac{1}{12}$
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