Advertisements
Advertisements
Question
Put three different numbers in the circles so that when you add the numbers at the end of each line you always get a perfect square.

Advertisements
Solution
6, 19 and 30 are the three numbers in which, when we add the end of each line we always get a perfect square.
6 + 19 = 25
6 + 30 = 36
19 + 30 = 49 
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?
4583
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
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 square of even number?
373758
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:
503
Find the square of the following number:
512
For every natural number m, (2m – 1, 2m2 – 2m, 2m2 – 2m + 1) is a pythagorean triplet.
Write two Pythagorean triplets each having one of the numbers as 5.
