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First approximation of a square root from four options
(iii) 7.7
💡 What it's asking: Find which two whole-number squares 60 lies between, then test the one-decimal options to see whose square is closest to 60.
- 60 is between 49 = 7² and 64 = 8², so √60 is 7-point-something.
- Try 7.7² = 59.29 and 7.8² = 60.84.
- 60 is 0.71 above 59.29 but 0.84 below 60.84.
- 60 is nearer 59.29, so the best choice is (iii) 7.7.
✅ 7.7 × 7.7 = 59.29, which is very close to 60. ✓
සිංහලෙන් විසඳුම
60 කුමන පූර්ණ වර්ග දෙක අතරදැයි සොයා, දශම එකේ විකල්ප වර්ග කර 60 ට ළඟම එක තෝරන්න.
- 60 යනු 49 = 7² සහ 64 = 8² අතර නිසා √60, 7 ට වඩා ටිකක් වැඩියි.
- 7.7² = 59.29 සහ 7.8² = 60.84 උත්සාහ කරන්න.
- 60, 59.29 ට වඩා 0.71 කින් වැඩියි; 60.84 ට වඩා 0.84 කින් අඩුයි.
- 60, 59.29 ට ළඟ නිසා හොඳම පිළිතුර (iii) 7.7.
Subtract two algebraic fractions with unlike denominators
1/(14x)
💡 What it's asking: Make the denominators the same, then subtract the tops.
- The LCM of 2x and 7x is 14x.
- 1/(2x) = 7/(14x) and 3/(7x) = 6/(14x).
- Subtract the tops: (7 − 6)/(14x) = 1/(14x).
✅ Try x = 1: 1/2 − 3/7 = 7/14 − 6/14 = 1/14. ✓
සිංහලෙන් විසඳුම
හර සමාන කර, පසුව ලව අඩු කරන්න.
- 2x සහ 7x හි කු.පො.ගු. 14x.
- 1/(2x) = 7/(14x) සහ 3/(7x) = 6/(14x).
- ලව අඩු කරන්න: (7 − 6)/(14x) = 1/(14x).
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