ADDING SQUARED NUMBERS

Adding Squared Numbers

Here we are providing the tricks how to add the squared numbers this trick is very easy if you have any problem related to any tricks you will contact us.

TRICK NO 1

Adding Squared Numbers In The Form a² + (2a)²

This method is very easy since from algebra we know:

a² + (2a)² = 5a²

Step first : (a²)

Step second : (5∗a²)

Therefore, you square the smaller number, then multiply by 5 for the answer.
Example (i) 11² + 22² =_________.

Here a is 11 then
(a) 11² = 121.
(b) 121 x 5 = 605.
(c) The answer is 605.

Ex (ii) 25² + 50² =_________.

Here a is 25 then

(a) 25² = 625.

(b) 625 x 5 = 3125.

(c) The answer is 3125.

TRICK NO 2

Adding Squared Numbers In The Form: a² + (3a)²

This method is very easy since from algebra we know:

a² + (3a)² = 10a²

Therefore, you square the smaller number, then multiply by 10 for the answer.
Ex (iii) 32² + 96² =_________.
(a) 32² = 1024.
(b) 1024 x 10 = 10240.
(c) The answer is 10240.

Ex (iv) 49² + 147² =_________.

(a) 49² = 2401.
(b) 2401 x 10 = 24010.
(c) The answer is 24010.

TRICK 3:

Adding Squared Numbers In The Form: a² + (7a)²

This method is very easy since from algebra we know:
a² + (7a)² = 50a²

Therefore, you square the smaller number, then multiply by 50 for the answer.
Ex (v) 6² + 42² =_________.
(a) 6² = 36.
(b) 36 x 50 = 1800.
(c) The answer is 1800.

Ex (vi) 15² + 105² =_________.
(a) 15²= 225.
(b) 225 x 50 = 11250.
(c) The answer is 11250

TRICK 4

Adding Squared Numbers In The Form: a² + (10a)²

This method is very easy since from algebra we know:

a² + (10a)² = 101a²