FUNDAMENTALS OF COMPUTER

COMPUTER PROGRAMMING FUNDAMENTALS

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Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What is the classification for:Square Root of 49 divided by 2
A
Rational
B
Irrational
C
Natural
D
Integer
Explanation: 

Detailed explanation-1: -The square root of 49 is 7. Because 7 x 7 = 49, 49 is a perfect square. The square roots of all perfect squares are rational numbers.

Detailed explanation-2: -Square Root of 49 by Prime Factorization Method Thus, the prime factorization of a number 49 is 7×7. Hence, the square root of 49 is equal to 7.

Detailed explanation-3: -Here, the given number √4 is equal to 2; the number 2 is a whole number and whole numbers are always rational. Also, it can be expressed in fraction form as 2 ⁄ 1 which means it is a rational number. Hence, √4 is not an irrational number.

Detailed explanation-4: -If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end (non-terminating) and does not repeat a pattern (non-repeating).

Detailed explanation-5: -Sal proves that the square root of 2 is an irrational number, i.e. it cannot be given as the ratio of two integers.

There is 1 question to complete.