Question

A-3b/ab-1/b при a=3/17 b=2корень 51

Answer 1

$\frac{3}{17} - \frac{17 \times 6 \sqrt{51} }{3} - \frac{1}{2 \sqrt{51} } = \frac{3}{17} - 17 \times 2 \sqrt{51} + 2 \sqrt{51} =$

Answer 2

To evaluate the expression A = 3b/(ab-1/b) given the values a = 3/17 and b = 2√51, we first need to substitute these values into the expression and then perform the calculations step by step.

Step 1: Substitute the values of a and b into the expression: A = 3 * (2√51) / ((3/17)*(2√51) - 1/(2√51))

Step 2: Simplify the expression in the denominator: A = 3 * (2√51) / ((6√51)/17 - 1/(2√51))

Step 3: Find a common denominator for the terms in the denominator: A = 3 * (2√51) / ((34√51 - 1) / (2√51))

Step 4: Invert the fraction in the denominator and multiply: A = 3 * (2√51) * (2√51) / (34√51 - 1)

Step 5: Simplify the expression in the numerator: A = (3 * 2 * 2 * 51) / (34√51 - 1)

A = 306 / (34√51 - 1)

Now, let's rationalize the denominator (eliminate the radical from the denominator):

Step 6: Multiply the numerator and denominator by the conjugate of the denominator (i.e., add the radical expression with the opposite sign): A = (306 / (34√51 - 1)) * ((34√51 + 1) / (34√51 + 1))

Step 7: Use the difference of squares identity to simplify the denominator: A = (306 * (34√51 + 1)) / (34^2 * 51 - 1)

A = (306 * (34√51 + 1)) / (1156 * 51 - 1)

Step 8: Perform the multiplication in the numerator: A = (10384√51 + 306) / (59076 - 1)

A = (10384√51 + 306) / 59075

So, the value of A is approximately: A ≈ (10384√51 + 306) / 59075

Please note that the above answer is an exact representation. If you need a numerical approximation, you can calculate the value using a calculator.