Advertisements
Advertisements
प्रश्न
Write the prime factorization of the following number and hence find their square root.
7056
उत्तर
The prime factorisation of 7056:
7056 = 2 \[\times\]2\[\times\]2\[\times\]2\[\times\] 3\[\times\]3\[\times\]7\[\times\] 7
Grouping them into pairs of equal factors, we get:
7056 = (2\[\times\] 2)\[\times\](2\[\times\]2)\[\times\] (3\[\times\]3)\[\times\](7\[\times\]
Taking one factor from each pair, we get:
`sqrt(7056)=2xx2xx3xx7=84`
APPEARS IN
संबंधित प्रश्न
Find the number of digits in the square root of the following numbers (without any calculation).
390625
Find the least number which must be subtracted from the following number so as to get a perfect square. Also find the square root of the perfect square so obtained.
3250
Find the least number which must be subtracted from the following number so as to get a perfect square. Also find the square root of the perfect square so obtained.
825
Find the squares of the following number using the identity (a + b)2 = a2 + 2ab + b2
1001
Find the square of the following number by visual method:
505
Find the square root the following by long division method:
974169
Find the square root of each of the following by long division method:
4008004
Find the value of `sqrt5` correct to 2 decimal places; then use it to find the square root of `(3-sqrt(5))/(3+sqrt(5)` correct to 2 significant digits.
Seeing the value of the digit at unit’s place, state which of the following can be square of a number :
(i) 3051
(ii) 2332
(iii) 5684
(iv) 6908
(v) 50699
Which of the following numbers will have 6 at their unit’s place :
(i) 262
(ii) 492
(iii) 342
(iv) 432
(v) 2442
