Question

for each of the following numbers find the smallest whole 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) 280 b) 500​

Answer 1

Answer:

a.19600,140; b.2500,50

Step-by-step explanation:

1. the prime factorization of 280=2×2×2×7×5
2. so we want multiply the number with 2×7×5
3. 280×2×5×7=19600
4. root of 19600=140

• prime factorization of 500=2×2×5×5×5
• so we want to multiply it with 5
• 500×5=2500
• root of 2500=50