Advertisements
Advertisements
Question
Write five numbers which you cannot decide whether they are square just by looking at the unit's digit.
Advertisements
Solution
A number whose unit digit is 2, 3, 7 or 8 cannot be a perfect square.
On the other hand, a number whose unit digit is 1, 4, 5, 6, 9 or 0 might be a perfect square although we have to verify that.
Applying these two conditions, we cannot determine whether the following numbers are squares just by looking at their unit digits:
1111, 1001, 1555, 1666 and 1999
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by the prime factorisation method.
5929
Find the square root of the following number by the prime factorisation method.
9216
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
1458
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
12150
By just examining the unit digit, can you tell which of the following cannot be whole square?
1023
Find the smallest number by which 180 must be multiplied so that it becomes a perfect square. Also, find the square root of the perfect square so obtained.
Find the smallest number by which 1152 must be divided so that it becomes a perfect square. Also, find the square root of the number so obtained.
The area of a square field is 5184 cm2. A rectangular field, whose length is twice its breadth has its perimeter equal to the perimeter of the square field. Find the area of the rectangular field.
By splitting into prime factors, find the square root of 396900.
Examine if the following is a perfect square.
841
