The sum of two perfect squares is a perfect square. State whether the statement is true or false.
Solution:
Given, the sum of two perfect squares is a perfect square.
We have to determine if the given statement is true or false.
Number obtained when a number is multiplied by itself is called the square of the number.
if m = n², then m is a perfect square where m and n are natural numbers.
Example: Consider two perfect squares 36 and 49
Sum of perfect squares = 36 + 49
= 85
85 is not a perfect square.
Therefore, the sum of two perfect squares is not a perfect square.
✦ Try This: The sum of two perfect cubes is a perfect cube. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 3 Problem 50
The sum of two perfect squares is a perfect square. State whether the statement is true or false
Summary:
The given statement, ”The sum of two perfect squares is a perfect square” is false
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