square root 5/square root 8 x square root 6/15 simplify
To simplify the expression (square root of 5 / square root of 8) multiplied by (square root of 6 / 15), we can follow these steps:
Step 1: Simplify each individual square root term.
- The square root of 5 cannot be simplified any further.
- The square root of 8 can be simplified by recognizing that 8 can be expressed as the product of 4 and 2. Taking the square root of each factor, we have the square root of 4 times the square root of 2. The square root of 4 is 2, so we have 2 times the square root of 2.
Step 2: Multiply the numerators and denominators separately.
- For the numerator, multiply the square root of 5 by the square root of 6. This gives us the square root of 5 times 6, which simplifies to the square root of 30.
- For the denominator, multiply 2 times 15, which gives us 30.
Step 3: Combine the numerator and denominator to get the simplified expression.
- The numerator is the square root of 30, and the denominator is 30. Therefore, the simplified expression is (square root of 30 / 30).
So, (square root of 5 / square root of 8) multiplied by (square root of 6 / 15) simplifies to (square root of 30 / 30).