Question

3√125*4*5√5распишите подробно ​

Answer 1

Ответ:

1500.

Пошаговое объяснение:

$3\sqrt{125}*4*5\sqrt{5}=3*4*5*\sqrt{125}*\sqrt{5}=60*\sqrt{625}=60*25=1500$

Answer 2

To simplify the expression 3√125 * 4 * 5√5, we need to calculate the cube root of 125 and the fifth root of 5, and then perform the multiplication.

Step 1: Calculate the cube root of 125 The cube root of a number is a value that, when multiplied by itself three times, gives the original number. So, 3√125 means finding the number x such that x * x * x = 125.

Since 5 * 5 * 5 = 125, the cube root of 125 is 5.

Step 2: Calculate the fifth root of 5 The fifth root of a number is a value that, when multiplied by itself five times, gives the original number. So, 5√5 means finding the number y such that y * y * y * y * y = 5.

The fifth root of 5 is not a whole number, and it's an irrational number that is approximately 1.37972966146 (rounded to 11 decimal places).

Step 3: Perform the multiplication Now, we'll multiply the results from Step 1 and Step 2 with the factor 4.

(3√125) * 4 * (5√5) = 5 * 4 * 1.37972966146

Now, let's perform the final multiplication:

(3√125) * 4 * (5√5) ≈ 5 * 4 * 1.37972966146 ≈ 27.5945933074

So, the simplified value of the expression is approximately 27.5946 (rounded to four decimal places).