Find Square Root Tricks : √(3⁹⁹ + 3⁹⁹ + 3⁹⁹)
√(3⁹⁹ + 3⁹⁹ + 3⁹⁹)
Simplification:
- Add the terms: Since all three terms are the same (3⁹⁹), it's: 3 × 3⁹⁹
- Use exponent rules: 3 × 3⁹⁹ = 3¹ × 3⁹⁹ = 3¹⁰⁰
- Now take the square root: √(3¹⁰⁰) = 3^(100 ÷ 2) = 3⁵⁰
Ans: 3⁵⁰