Page 21 - 7-Math-5 SQUARE ROOT OF POSITIVE NUMBER

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9. A teacher drew a triangle of 8cm height and 18cm base. Now
he wants to draw a square whose area must be the twice that
of the triangle. Calculate the length of the each side of the
square that he has to draw.

10. Solve:
(i) By which smallest number can 605 be multiplied to get a
perfect square?
(ii) By which smallest number can 3675 be divided to get a
perfect square?
(iii) The area of a square is 94.09 m2. What is the length of its
side?
(iv) The length of a side of a square is 55.5 m. What is the
area of the square?

Summary

• The product of a number with itself is called its square.
• A natural number is called a perfect square, if it is a square of any

natural number.
• The square of an even number is even and of an odd number is

odd.
• The square of a proper fraction is less than itself.
• The square of a decimal less than 1 is smaller than itself.
• The process of finding the square root is the reverse operation of

‘squaring a number’.
• If x is a number such that x = y2, then x is known as the square of

y and y is known as square root os x.
• To represent the square root, we use the symbol “ ” which is

called radical.
• To find the square root of a mixed fraction, we convert it into an

improper fraction.
• We find the square root of a decimal by changing it into a fraction.
• We find the square root of a decimal by changing it into a fraction.

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