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ICSE-VIII-Mathematics

03: Squares and Square Roots Class 8 Maths

with Solutions -
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  • #3-i
    Find the smallest number by which 2592 be multiplied so that the product is a perfect square. (ii) Find the smallest number by which 12748 be multiplied so that the product is a perfect square?
    Ans :
    On grouping the prime factors of 2592 as shown; on factor i.e., 2 is left which cannot be paired with equal factor.

    The given number should be multiplied by 2 to make the given number a perfect square. (ii)
    On grouping, the prime factors of 12748 as shown; one factor i.e., 3187 is left which cannot be paired with equal factor.

    The given number should be multiplied by 3187.
  • #3-ii
    Find the smallest number by which 12748 be multiplied so that the product is a perfect square?
    Ans :
    On grouping, the prime factors of 12748 as shown; one factor i.e., 3187 is left which cannot be paired with equal factor.

    The given number should be multiplied by 3187.