Question

Find the square of 59 without actual multiplication

Answer 1

Answer: 3481

Step-by-step explanation:

59^2= (50+9)^2 = (50)^2 + 2(50)(9) + (9)^2 = 2500+ 900+ 81 = 3481

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Answer 2

To find : square of $59$ without actual multiplication.

Solution :

• To find square of $59$ without actual multiplication , we split the number in the form of $a + b$ , where $a$ is a multiple of $10$ .

• Therefore , split  $59$ as $( 50 + 9 )$ .
• Now to find square we write as:  $( 59^{2}) = ( 50 + 9 ) ^{2}$
• Applying identity $(a + b)^{2} =a^{2} + 2ab + b^{2}$
• Thus , $(50 + 9 )^{2} = (50)^{2} + 2(50) ( 9) + (9)^{2}$

                                 $= 2500 + 900 + 81$

                                 $= 3481$

Hence , square of $59$ is $3481$.