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Find the smallest number by which 343 should be multiplied to get a perfect square, and find the square root of the resulting number.

April 11, 2026Mathematics

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: Find the smallest 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.
- a) 343

    $$
    343 = 7 \times 7 \times 7 = 7^3
    $$

Identify factors with odd exponents.
To make $7^3$ a perfect square, we need to multiply by $7^1$ .
Smallest number to multiply by is 7.
Calculate the new perfect square number

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