Advertisements
Advertisements
Question
Find the squares of the following numbers using diagonal method:
171
Advertisements
Solution
\[\therefore\] 1712 = 29241
APPEARS IN
RELATED QUESTIONS
Find the square of the given number.
32
What will be the units digit of the square of the following number?
52
What will be the units digit of the square of the following number?
99880
What will be the units digit of the square of the following number?
55555
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 \[1 = \frac{1}{2}\left\{ 1 \times \left( 1 + 1 \right) \right\}\]
\[ 1 + 2 = \frac{1}{2}\left\{ 2 \times \left( 2 + 1 \right) \right\}\]
\[ 1 + 2 + 3 = \frac{1}{2}\left\{ 3 \times \left( 3 + 1 \right) \right\}\]
\[1 + 2 + 3 + 4 = \frac{1}{2}\left\{ 4 \times \left( 4 + 1 \right) \right\}\]
and find the values of following:
1 + 2 + 3 + 4 + 5 + ... + 50
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
96
Find the squares of the following numbers using diagonal method:
98
Find the square of the following number:
503
Find the square of the following number:
405
