Q1.
Using the prime factorization method, find which of the following numbers are
perfect squares:
(i)
(ii)
(iii)
Q2.
Find: (i)
Q3.
Find the smallest number by which
Q4.
square. Also, find the square root of the perfect square so obtained.
Find square root of each of the following numbers using the method of prime
factorization: (i)
(ii)
(ii)
must be multiplied to get a perfect
(iii)
Q5.
Find the smallest number by which
must be divided to obtain a perfect
Q6.
square. Also, find the square root of the perfect square so obtained.
plants are to be planted in a garden in such way that each row contains as
many plants as the number of rows. Find the number of rows and the number of
plants in each row.
Q7.
Find the least square number which is exactly divisible by each of the numbers
.
Q8.
Find the least square number which is exactly divisible by each of the numbers
.
Q9.
The students of a class arranged a picnic. Each student contributed as many
rupees as the number of student in the class. If the total contribution is Find the
least square number which is exactly divisible by each of the numbers
,
Q10.
find the strength of the class.
Evaluate:
Q11.
Evaluate:
Q12.
Find the greatest number of four digits, which is a perfect square.
Q13.
Find the least number of six digits which is a perfect square. Find the square root
of this number.
Find the least number which must be added to
to obtain a perfect square.
Q14.
using long division method.
Find this perfect square and its square root.
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Q15.
Evaluate:
correct upto two places of decimal.
Q16.
Evaluate:
correct upto two places of decimal.
Q17.
Find the length of each side of a square whose area is equal to the area of a
rectangle of length
and breadth
.
Q18.
Find the square root of
Q19.
Find the value of
Q20.
Find the square of following numbers using diagonal method:
.
.
.
Answers
A1.
A2.
(ii) and (iii)
(i)
(ii)
A3.
A4.
(i)
(ii)
(i)
(ii)
(iii)
A5.
A6.
A7.
A8.
A9.
A10.
A11.
A12.
A13.
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A14.
A15.
A16.
A17.
A18.
A19.
A20.
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