use short cut method to find the square of the following number which end in 5 of 85 ^2 answer in step by step
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Answer:
According to Vedic maths sutras 'Ekadhiken Purven' method is-. Let us take example of 15 to find its Square = 1) write 15, and then take number one more than the number at tens place i.e., number more than one is 2 and multiply it with question left side no.1 then 1×2=2, so it is our left side answer and for remaining right side answer we know that square of 5 is 25. So answer is 225 final answer. Let take another example 25 then for left side answer we should write number one more than 2 that is 3 and multiply it with 2 is (left side no. in question) 3×2=6 and remaining is Square of 5 that is 25. For 35 , 3+1=4 multiplying by 3( questions left side digit): 4×3=12 and remaining right side answer is Square of 5 is 25, so final answer is 1225. And so on for numbers ending with 5. For 105 take 10 as left side like as 10|5 because we know the square of 5 that is 25 in our mind and then proceed as previously, one number more than 10 is 11 and multiplying with question left side digit we get 11×10=110 as left side answer and remaining right part side answer is Square of 5 that is 25, so final answer of 105 Square is 11025. For Square of 115 we first take care of left side digit 11 and right side 5 as 11|5 after take no. One more than 11(left side of question) is 12 and then multiply it with 11(left side digit of question) as follow as 12×11=132 and Square of 5 as 25 now final answer will be 13225. So on write it and then do mentally.
There are two short cut method to find squares. Step III: Underline the digit in column II and add the number formed by tens and other digit, if any, to a 2 in column I.
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Short Cut Method to Find Squares.
Column I Column II Column III
a 2 2 x a x b b 2
25 + 7 70 + 4 = 74 49