Question

Square of $112$ by Sutra Urdhva-tiryagbhyam method is :

• A. $21844$
• B. $12544$
• C. $16544$
• D. $17644$

Answer 1

The correct option is B $12544$

To find the square of $112$

$112\times 112$

5 steps are there to solve this.

(i) Multiply the unit digits

$2\times 2=4$

(ii) Take the units and tens digit to cross multiply and add the products

$(2\times 1)+(1\times 2)=2+2=4$

(iii) Take all three digits to cross multiply and add the products

$(2\times 1)+(1\times 2)+(1\times 1)=2+2+1=5$

(iv) Take the hundreds and tens digit to cross multiply and add the products

$(1\times 1)+(1\times 1)=1+1=2$

(v) Multiply the hundred digits

$1\times 1=1$

Write the numbers obtained from step (v) to (i) in order.

i.e., $12544$

This the square of $112$ is $12544$.