Question

3√5 = 4√7 = 1/2√8= 5√92= 2/3√18= 3/4√34/3 =

Answer 1

Решение задания смотри на фотографии

Answer 2

Let's simplify each expression:

1. 3√5: This cannot be simplified further since 5 is a prime number.

2. 4√7: Similar to the previous case, 7 is a prime number, so this cannot be simplified further.

3. 1/2√8: We can simplify this by factoring the number under the square root: 8 = 4 × 2. Taking the square root of 4 gives us 2, so we have (1/2) × 2√2, which simplifies to √2.

4. 5√92: We can simplify this by factoring the number under the square root: 92 = 2 × 2 × 23. Taking the square root of 2 gives us √2, so we have 5 × 2√2 × √23, which simplifies to 10√46.

5. 2/3√18: We can simplify this by factoring the number under the square root: 18 = 2 × 3 × 3. Taking the square root of 2 gives us √2, so we have (2/3) × 3√2 × √3, which simplifies to 2√6.

6. 3/4√34/3: We can simplify this by multiplying the numerator and denominator by the conjugate of the denominator. The conjugate of √34/3 is √34/3, so we have (3/4√34/3) × (√34/3)/(√34/3). This gives us (3√34)/(4 × 3) = √34/4.

To summarize:

• 3√5 remains as 3√5.
• 4√7 remains as 4√7.
• 1/2√8 simplifies to √2.
• 5√92 simplifies to 10√46.
• 2/3√18 simplifies to 2√6.
• 3/4√34/3 simplifies to √34/4.