Digit Sums Of Squares-Properties Of Square Numbers

A certain number of two digits is three times the sum of its digits. If 45 is added to the number, the digits will be reversed. What is the sum of the squares of the two digits of the number?

Property 3 The square root of an even square number is even and that square root of an odd square number is odd.

What will be the units digit of the squares of the following numbers?

The number of two digit numbers which are perfect square and perfect cube both is :

Write the number of digits in the square root of the following numbers : (no calculation needed) 324

Write the number of digits in the square root of the following numbers : (no calculation needed) 676

Write the number of digits in the square root of the following numbers : (no calculation needed) 1369

Write the number of digits in the square root of the following numbers : (no calculation needed) 21904

Write the number of digits in the square root of the following numbers : (no calculation needed) 4937284