Maharashtra BoardEnglish MediumSTD 8MathsSquares and Square Roots2 Marks
Question
Find the square root of:
$10\frac{151}{225}$
✓
Answer
We know,
$\sqrt{10\frac{151}{225}}=\sqrt{\frac{2401}{225}}=\frac{\sqrt{2401}}{\sqrt{225}}$
Now, let us compute the square roots of the numerator and the denominator separately.
$\sqrt{2401}=\sqrt{7\times7\times7\times7}=7\times7=49$
$\sqrt{225}=\sqrt{3\times3\times5\times5}=3\times5=15$
$\therefore\sqrt{10\frac{151}{225}}=\frac{49}{15}=3\frac{4}{15}$
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