All Categories MCQs
Topic Notes: All Categories
General Description
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
6781
Simplify sqrt(32).
Answer:
4sqrt2
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 32 = 4² * 2. 3. Extract the square root of the perfect square to obtain 4sqrt2.
6782
Simplify sqrt(75).
Answer:
5sqrt3
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 75 = 5² * 3. 3. Extract the square root of the perfect square to obtain 5sqrt3.
6783
Simplify sqrt(125).
Answer:
5sqrt5
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 125 = 5² * 5. 3. Extract the square root of the perfect square to obtain 5sqrt5.
6784
Simplify sqrt(96).
Answer:
4sqrt6
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 96 = 4² * 6. 3. Extract the square root of the perfect square to obtain 4sqrt6.
6785
Simplify sqrt(64).
Answer:
4sqrt4
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 64 = 4² * 4. 3. Extract the square root of the perfect square to obtain 4sqrt4.
6786
Simplify sqrt(45).
Answer:
3sqrt5
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 45 = 3² * 5. 3. Extract the square root of the perfect square to obtain 3sqrt5.
6787
Find the square root of 12 correct to three decimal places.
Answer:
3.464
Step-by-step solution: 1. Prime factorise the radicand to identify perfect squares. 2. Take the square root to obtain 3.464. 3. Round the result to three decimal places.
6788
Find the square root of 25 correct to three decimal places.
Answer:
5.0
Step-by-step solution: 1. Prime factorise the radicand to identify perfect squares. 2. Take the square root to obtain 5.0. 3. Round the result to three decimal places.
6789
Find the square root of 9 correct to three decimal places.
Answer:
3.0
Step-by-step solution: 1. Prime factorise the radicand to identify perfect squares. 2. Take the square root to obtain 3.0. 3. Round the result to three decimal places.
6790
Find the square root of 50 correct to three decimal places.
Answer:
7.071
Step-by-step solution: 1. Prime factorise the radicand to identify perfect squares. 2. Take the square root to obtain 7.071. 3. Round the result to three decimal places.