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ah bee-shek 8888888

· started a discussion

· 1 Months ago

show calculation (Question: 186067.0 )

how to find the sq root of 1476225 without a calculator

Question:
A motorist travels along the boundary of a square field of area 1476225 m2, at 36 km/hr. He returns to starting point in–
Options:
A) 8 min 8 sec
B) 6 min 8 sec
C) 8 min 6 sec
D) 6 min 6 sec
Solution:
Ans: (c) Perimeter of the square field = \(\sqrt{1476225}\)   m

= 4 × 1215 m = 4860 m

speed of the man = 36 km/h 

=  36 × \(\cfrac{5}{18}\)

= 10 m/s 

Time taken by motorist =  \(\cfrac{4860}{10}\)   seconds

= 486 seconds

= 8 min. 6 sec.

Knowledge Expert

· commented

· 1 Months ago

Dear Student,

1st of all mark off the digits in pair from the right side or from the unit‟s digit. The we get the given number as 1 47 62 25 in pairs. Now find perfect square number less than or equal to 1. We find 1 is perfect square of 1. So put 1 in divisor as well as quotient.

Now bring down the next pair 47. And put new divisor (as 1 st remember point) 2(1+1). Then put2 again in the suffix of the new divisor as well as in the quotient (according to 2 nd remember point). Then put 44(22×2) below 47, and reminder is 3.

Now bring down the next pair of 62 and new dividend is 362. Now put 24 as new divisor (as 1 st remember point). And put 1 suffixed to 24 in new divisor as well as in the quotient. So new divisor is 241. Put 241 below 362 as (241×1=241). So reminder is 121.

Now bring down the next pair 25 and new dividend is 12125. New divisor is 242(241+1). Now put 5 as quotient and 2425 as new divisor. Because 2425×5=12125. So reminder is zero. And final quotient we get is 1215.

Square root of 1476225=1215

Keep learning with us.
All the Best.
Team Toprankers

marcia singson

· commented

· 1 Months ago

yes team toprankers please let us know the way to simply find such a big square root no.in few seconds without using any instrument.
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