Question

(3√5-√20)×√2.Решите пж

Answer 1

(3√5-2√5)×√2=√5×√2=√10

Answer 2

To simplify the expression, let's first evaluate each term:

1. √5: This represents the square root of 5.
2. √20: This represents the square root of 20.

Now, let's calculate these values:

1. √5 ≈ 2.2360679775 (approximately)
2. √20 = √(4 * 5) = 2 * √5 ≈ 2 * 2.2360679775 ≈ 4.472135955 (approximately)

Next, let's substitute these values back into the original expression:

(3√5 - √20) × √2 ≈ (3 * 2.2360679775 - 4.472135955) × √2 ≈ (6.7082039325 - 4.472135955) × √2 ≈ 2.2360679775 × √2 ≈ 2.2360679775 * 1.4142135624 (since √2 ≈ 1.4142135624) ≈ 3.1622776602 (approximately)

Therefore, the simplified value of the expression (3√5 - √20) × √2 is approximately 3.1622776602.