8. Сколько целых чисел расположено между 5√7 и 7√5?

Square the numbers: (5√7)^2 = 25 * 7 = 175. (7√5)^2 = 49 * 5 = 245.

Find the square roots of the nearest perfect squares: √175 is between √169 = 13 and √196 = 14. √245 is between √225 = 15 and √256 = 16.

So, 5√7 is approximately 13.2 and 7√5 is approximately 15.6. The integers between them are 14 and 15.

There are 2 integers between 5√7 and 7√5.