Advertisements
Advertisements
प्रश्न
Is 176 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square.
Advertisements
उत्तर
Given: 176
Factors of 176 = 2 × 2 × 2 × 2 × 11
As we see, 11 do not have a pair.
Hence 176 should be multiply with 11 to get perfect square.
⇒ 176 × 11 = 2 × 2 × 2 × 2 × 11 × 11
⇒ 1936 = 22 × 22 × 112
⇒ 1936 = 442
Which is perfect square of 44.
APPEARS IN
संबंधित प्रश्न
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
12150
Write true (T) or false (F) for the following statement.
The square of a prime number is prime.
Write true (T) or false (F) for the following statement .
There is no square number between 50 and 60.
Find the square root of each of the following by prime factorization.
441
Find the square rootthe following by prime factorization.
11664
Find the square root the following by prime factorization.
24336
Find the smallest number by which 147 must be multiplied so that it becomes a perfect square. Also, find the square root of the number so obtained.
The product of two numbers is 1296. If one number is 16 times the other, find the numbers.
By splitting into prime factors, find the square root of 194481.
Using prime factorisation, find which of the following are perfect squares.
729
