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Question
Find the squares of the following numbers using diagonal method:
348
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Solution
\[\therefore\] 3482 = 121104
RELATED QUESTIONS
What will be the units digit of the square of the following number?
977
Observe the following pattern
22 − 12 = 2 + 1
32 − 22 = 3 + 2
42 − 32 = 4 + 3
52 − 42 = 5 + 4
and find the value of
1002 − 992
Which of the following triplet pythagorean?
(12, 35, 38)
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 :
12 + 22 + 32 + 42 + ... + 102
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
37
Find the squares of the following numbers using diagonal method:
171
Find the square of the following number:
862
Find the square of the following number:
995
For every natural number m, (2m – 1, 2m2 – 2m, 2m2 – 2m + 1) is a pythagorean triplet.
If x and y are integers such that x2 > y2, then x3 > y3.
