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Squares and Square Roots — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsSquares and Square Roots2 Marks
Question
Simplify:
$\frac{\sqrt{59.29}\ -\sqrt{5.29}}{\sqrt{59.29}\ +\sqrt{5.29}}$
✓

Answer

We have,
$\sqrt{59.29}=\sqrt{\frac{5929}{100}}=\frac{\sqrt{7\times7\times11\times11}}{10}=\frac{7\times11}{10}=7.7$
$\sqrt{59.29}=\sqrt{\frac{5929}{100}}=\frac{\sqrt{529}}{\sqrt{100}}=\frac{23}{10}=2.3$
$\frac{\sqrt{59.29}\ -\sqrt{5.29}}{\sqrt{59.29}\ +\sqrt{5.29}}=\frac{7.7-2.3}{7.7+2.3}=\frac{5.4}{10}=0.54$

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