Question

Which of the following numbers by which 9408 must be divided so that the quotient is a perfect square

Answer 1

Step-by-step explanation:

1. FIND PRIME FACTORS OF 9408

• 9408=2×2×2×2×2×2×3×7×7
• 2,2,2,2,2,2,3,7,7 ARE ITS PRIME FACTORS
• WE OBSERVED, THAT IN ITS PRIME FACTORS ONLY THREE NUMBERS ARE WITHOUT PAIRS

1. SO, JUST DIVIDE 9408/3

AFTER DIVIDING:

56 WE GET REMAINDER

• SO WE GET 56 AS REMAINDER
• ASKED IN QUESTION = SQAURE OF REMAINDER

SO, 56^2=3136

OR WE CAN SAY

 √3136=56

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