Advertisements
Advertisements
Question
Find the square of the following number:
512
Advertisements
Solution
We know:
The square of a three-digit number of the form 5ab = (250 + ab)1000 + (ab)2
\[\therefore\] 5122 = (250+12)1000 + (12)2 = 262000 + 144 = 262144
APPEARS IN
RELATED QUESTIONS
Which of the following triplet is pythagorean?
(18, 80, 82)
Observe the following pattern \[1^2 = \frac{1}{6}\left[ 1 \times \left( 1 + 1 \right) \times \left( 2 \times 1 + 1 \right) \right]\]
\[ 1^2 + 2^2 = \frac{1}{6}\left[ 2 \times \left( 2 + 1 \right) \times \left( 2 \times 2 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 = \frac{1}{6}\left[ 3 \times \left( 3 + 1 \right) \times \left( 2 \times 3 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 + 4^2 = \frac{1}{6}\left[ 4 \times \left( 4 + 1 \right) \times \left( 2 \times 4 + 1 \right) \right]\] and find the values :
52 + 62 + 72 + 82 + 92 + 102 + 112 + 122
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
37
Find the square of the following number:
862
Find the square of the following number:
405
Find the square of the following number:
995
If one member of a pythagorean triplet is 2m, then the other two members are ______.
For every natural number m, (2m – 1, 2m2 – 2m, 2m2 – 2m + 1) is a pythagorean triplet.
All numbers of a pythagorean triplet are odd.
