Advertisements
Advertisements
Question
Which of the following number square of even number?
1296
Solution
The numbers whose last digit is odd can never be the square of even number.
use prime factorisation method and make pairs of equal factors.
1296 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3
= (2 x 2) x (2 x 2) x (3 x 3) x (3 x 3)
There are no factors that are not paired. Hence, 1296 is a perfect square. The square of an even number is always even. Hence, 1296 is the square of an even number.
APPEARS IN
RELATED QUESTIONS
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 triplets are pythagorean?
(8, 15, 17)
Which of the following triplet pythagorean?
(14, 48, 51)
Observe the following pattern
\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) = \frac{2 \times 3 \times 4}{3}\]
\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) + \left( 3 \times 4 \right) = \frac{3 \times 4 \times 5}{3}\]
\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) + \left( 3 \times 4 \right) + \left( 4 \times 5 \right) = \frac{4 \times 5 \times 6}{3}\]
and find the value of(1 × 2) + (2 × 3) + (3 × 4) + (4 × 5) + (5 × 6)
Which of the following number square of even number?
4489
Find the square of the following number:
862
The hypotenuse of a right triangle with its legs of lengths 3x × 4x is ______.
The sides of a right triangle whose hypotenuse is 17 cm are ______ and ______.
The dimensions of a rectangular field are 80 m and 18 m. Find the length of its diagonal.
A 5.5 m long ladder is leaned against a wall. The ladder reaches the wall to a height of 4.4 m. Find the distance between the wall and the foot of the ladder.
