Squaring Tricks

Squaring a number ending with 4

We can very eaisly calculate the square of a number ending with 4.

Let n4 be a number where n is an integer.

STEP 1: Add 1 to the given number.

STEP 2: By adding 1 to the number it will take a form of n5 pattern and now we have to square of n5 [By using squaring of a number ending with 5 method we can eaisly calculate the square of n5.].

STEP 3: Sum the original number and output of STEP 1.

STEP 4: Subtract the output of STEP 2 from STEP 3.

Example 1: Find square of 34?

STEP 1: 34 + 1 =35

STEP 2: $(35)^2=1225$

STEP 3: 34 + 35 =69

STEP 4: 1225 - 69 = 1156

Example 2: Find square of 334?

STEP 1: 334 + 1 =335

STEP 2: $(335)^2=112225$

STEP 3: 334 + 335 =669

STEP 4: 112225 - 669 = 111556