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Nearest value of a square root from four options
9.3 (option iv)
💡 What it's asking: Find which perfect squares 87 sits between, then square the choices to see which comes closest to 87.
- 87 lies between 81 = 9² and 100 = 10², so √87 is between 9 and 10.
- 87 is close to 81, so √87 is just a little over 9. That rules out 8.7.
- Square the likely choice: 9.3² = 86.49, very close to 87.
- 9² = 81 and 9.6² = 92.16 are further away, so the answer is 9.3.
✅ 86.49 is only 0.51 away from 87, closer than any other choice. ✓
සිංහලෙන් විසඳුම
87 කුමන පූර්ණ වර්ග දෙක අතරද බලා, විකල්ප වර්ග කර 87 ට ආසන්නතම එක සොයන්න.
- 87, 81 = 9² සහ 100 = 10² අතර නිසා √87, 9 ත් 10 ත් අතරයි.
- 87, 81 ට ආසන්න නිසා √87, 9 ට ටිකක් වැඩියි. එබැවින් 8.7 ඉවත් වේ.
- ගැළපිය හැකි විකල්පය වර්ග කරන්න: 9.3² = 86.49, 87 ට ඉතා ආසන්නයි.
- 9² = 81 සහ 9.6² = 92.16 ඈතින් ඇති නිසා පිළිතුර 9.3.
Least common multiple of two algebraic terms
2x^2y^2
💡 What it's asking: The LCM (lowest common multiple) must include every factor from both terms, each with its highest power.
- Numbers: the LCM of 2 and 1 is 2.
- x: the highest power that appears is x².
- y: the highest power that appears is y².
- Multiply them: LCM = 2x²y².
✅ Divide 2x²y² by each term; both divide exactly with nothing left over. ✓
සිංහලෙන් විසඳුම
කු.පො.ගු. (කුඩාම පොදු ගුණාකාරය) පද දෙකේම සෑම සාධකයක්ම, එහි ඉහළම බලයෙන්, අඩංගු විය යුතුයි.
- සංඛ්‍යා: 2 සහ 1 හි කු.පො.ගු. 2.
- x: ඇති ඉහළම බලය x².
- y: ඇති ඉහළම බලය y².
- ගුණ කරන්න: කු.පො.ගු. = 2x²y².
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Write a logarithm fact in index form
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Perimeter of a triangle from its midpoint triangle
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Speed from a distance-time graph
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Angle using a diameter, isosceles triangle and same segment
Factors of Quadratic ExpressionsFactorise a quadratic trinomial
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Fractions · Inverse ProportionFractions of a wall built each week; man-days and days left
Lamina cut from a square with quarter circles: perimeter, area, tiling
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