Advertisements
Advertisements
Question
Find the squares of the following numbers using diagonal method:
273
Advertisements
Solution
\[\therefore\] 2732 = 74529
APPEARS IN
RELATED QUESTIONS
Find the square of the given number.
86
Write a Pythagorean triplet whose one member is 6.
Write a Pythagorean triplet whose one member is 16.
What will be the units digit of the square of the following number?
52698
From the pattern, we can say that the sum of the first n positive odd numbers is equal to the square of the n-th positive number. Putting that into formula:
1 + 3 + 5 + 7 + ... n = n2, where the left hand side consists of n terms.
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
Which of the following number is squares of even number ?
256
Find the square of the following number:
127
Find the square of the following number:
503
All numbers of a pythagorean triplet are odd.
