# Square and Square Root Tricks Math Tricks Problems and Solutions

Square and Square Root Tricks Math Tricks Problems and Solutions

Square and Square root tricks are the very important topics in any competitive exam. The Square and Square roots are the most commonly asked questions any government and private recruitment exam. Here we are providing the questions and answers according to the previous year question paper. The Square and Square Root Tricks are the most effective tricks for time management in any exam. We are learning the Square and Square root tricks from our school days.

Here we are explaining the Square and Square Root tricks by 50 digits of math. Kindly read carefully and remember all the short formulas like:

12 = 1                            112=121                                212=441                                            312=961

22=4                             122=144                                222=484                                            322=1024

32=9                     132=169                                     232=529                                               332=1089

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Square and Square Root Problems and Solutions According to Previous year Papers:

Question 1: Calculate the (55)2=?

Solution: Consider a=5 and b=5

Applying Formula a2+2ab+b2

Or we can write

a2/2ab/b2= 52/2X5X5/52

=25/50/25

Note down 5 and Carry 2 by going from Right to Left

Now Add 2 with 50=52 Note down 2 at left of 5 and carry 5

Add Carry with 25 and (5+25)=30 Note down 30 at left of 2

(55)2=3025

Question 2: Find Out the (57)2??

Solution: Consider a=5 and b=7

Applying Formula a2+2ab+b2

Or we can write

a2/2ab/b2= 52/2X5X7/72

=25/50/49

Note down 9 and Carry 4 by going from Right to Left

Now Add 4 with 70=74 Note down 4 at left of 5 and carry 7

Add Carry with 25 and (7+25)=32 Note down 34 at left of 4

(55)2=3249

Question 3: Find Out the (69)2??

Solution: Consider a=6 and b=9

Applying Formula a2+2ab+b2

Or we can write

a2/2ab/b2= 62/2X6X9/92

=36/108/81

Note down 1 and Carry 8 by going from Right to Left

Now Add 1 with 108+8=116 Note down 6 at left of 1 and carry 11

Add Carry 11 with 36 and (11+36)=47 Note down 47 at left of 6

(69)2=4761

Question 4: Find Out the (84)2??

Solution: Consider a=8 and b=4

Applying Formula a2+2ab+b2

Or we can write

a2/2ab/b2= 82/2X8X4/42

=64/64/16

Note down 6 and Carry 1 by going from Right to Left

Now Add 1 with 64+1=65 Note down 5 at left of 5 and carry 6

Add Carry with 64 and (6+64)=70 Note down 70 at left of 5

(84)2=7056

Question 5: Find Out the (76)2??

Solution: Consider a=7 and b=6

Applying Formula a2+2ab+b2

Or we can write

a2/2ab/b2= 72/2X7X6/62

=49/84/36

Note down 6 and Carry 3 by going from Right to Left

Now Add 3 with 84=87 Note down 6 at left of 6 and carry 8

Add Carry with 49 and (8+49)=57 Note down 57 at left of 7

(76)2=5776