Question
Find the value of: $\frac{\sqrt{1587}}{\sqrt{1728}}$
✓
Answer
We have, $\frac{\sqrt{1587}}{\sqrt{1728}}=\sqrt{\frac{529}{576}}$ (by dividing both numbers by $3$)
Computing the square roots of the numerator and the denominator,
$\sqrt{529}=\sqrt{23\times23}=23$ $\sqrt{576}=\sqrt{24\times24}=24$
$\therefore\frac{\sqrt{1587}}{\sqrt{1728}}=\frac{23}{24}$
Computing the square roots of the numerator and the denominator,
$\sqrt{529}=\sqrt{23\times23}=23$ $\sqrt{576}=\sqrt{24\times24}=24$
$\therefore\frac{\sqrt{1587}}{\sqrt{1728}}=\frac{23}{24}$
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