Squaring Tricks

Squaring a number ending with 6

We can very eaisly calculate the square of a number ending with 6.

Let n6 be a number where n is an integer.

STEP 1: Subtract 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: Add the output of STEP 2 from STEP 3.

Example 1: Find square of 36?

STEP 1: (36 - 1 =35)

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

STEP 3: (36 + 35 =71)

STEP 4: 1225 + 69 = 1296

Example 2: Find square of 336?

STEP 1: (336 - 1 =335)

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

STEP 3: (336 + 335 =671)

STEP 4: 112225 + 671 = 112896