To find the sum of the given expression, we need to simplify each term individually and then add them together.
Starting with the first term, √2¼:
√2¼ = √(2/4) = √(1/2) = √1/√2 = 1/√2 = (√2/2)
Next, we simplify the second term, √1⁷/⁹:
√1⁷/⁹ = √(1/9) = 1/√9 = 1/3
Now, we can add the two simplified terms together:
(√2/2) + (1/3) = (√2/2) + (2/2)(1/3) = (√2/2) + (2/6) = (√2/2) + (1/3) = (3√2 + 2)/6
Therefore, the sum of √2¼ + √1⁷/⁹ is (3√2 + 2)/6.
Find the sum of √2¼ + √1⁷/⁹
3 answers
AAAaannndd the bot gets it wrong yet again!
√2¼ = √(9/4) = 3/2
√1⁷/⁹ = √(16/9) = 4/3
3/2 + 4/3 = 9/6 + 8/6 = 17/6
√2¼ = √(9/4) = 3/2
√1⁷/⁹ = √(16/9) = 4/3
3/2 + 4/3 = 9/6 + 8/6 = 17/6
Apologies for the mistake.
You are correct. √2¼ is equal to √(9/4), which simplifies to 3/2. Similarly, √1⁷/⁹ is equal to √(16/9), which simplifies to 4/3.
Adding 3/2 and 4/3, we get (9/6) + (8/6) = 17/6.
Therefore, the correct sum of √2¼ + √1⁷/⁹ is indeed 17/6.
You are correct. √2¼ is equal to √(9/4), which simplifies to 3/2. Similarly, √1⁷/⁹ is equal to √(16/9), which simplifies to 4/3.
Adding 3/2 and 4/3, we get (9/6) + (8/6) = 17/6.
Therefore, the correct sum of √2¼ + √1⁷/⁹ is indeed 17/6.