Question

√2*8^⅔ \ 2^-½ Решите пожалуйста

Answer 1

Прошу прощения, за такой огрызочек:D

Answer 2

Solution:

To solve the expression √2 * 8^(2/3) + 2^(-1/2), we can break it down into smaller steps.

Step 1: Simplify the exponents. - 8^(2/3) can be simplified as the cube root of 8 squared: (8^(1/3))^2. - The cube root of 8 is 2, so (8^(1/3))^2 = 2^2 = 4.

Step 2: Evaluate the expression. - Now we have √2 * 4 + 2^(-1/2).

Step 3: Calculate the square root and the exponent. - √2 is the square root of 2, which is approximately 1.414. - 2^(-1/2) is the reciprocal of the square root of 2, which is approximately 0.707.

Step 4: Perform the multiplication and addition. - 1.414 * 4 + 0.707 = 5.656 + 0.707 = 6.363.

Therefore, the solution to the expression √2 * 8^(2/3) + 2^(-1/2) is approximately 6.363.

Please let me know if you need any further assistance!