Maharashtra BoardEnglish MediumSTD 8MathsSquares and Square Roots2 Marks
Question
Find the square root of:
$\frac{441}{961}$
✓
Answer
We know,
$\sqrt{\frac{441}{961}}=\frac{\sqrt{441}}{\sqrt{961}}$
Now, let compute the square roots of the numberator and the denominator separately.
$\sqrt{441}=\sqrt{(3\times3)\times(7\times7)}=3\times7=21$
$\sqrt{961}=\sqrt{31\times31}=31$
$\therefore\sqrt{\frac{441}{961}}=\frac{21}{31}$
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