Math, asked by Akshaja5982, 8 months ago

What is the ones digit of the following squares : 22^2 . ch: squares and square roots . 8th std

Answers

Answered by jsumanth19
2

Answer:

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Step-by-step explanation:

Some Properties of square root

1.   The Square root of an even perfect square is even and that of an odd Perfect square is odd.2.   Since there is no number whose square is negative the square root of a negative number is not defined.3.   If a number ends with an odd number of zeroes, then it cannot have a square root which is a natural number.4.   If the units digit of a number is 2, 3, 7 or 8 then square root of that number (in natural numbers) is not possible.5.   If m is not a perfect square, then there is no integer n such that square root of m is n.

Finding square root through repeated subtraction Recall the pattern formed while adding Consecutive odd numbers.          1 + 3 + 5 + 7 + 9 = 52 = 25          1 + 3 + 5 + 7 + 9 + 11 = 62 = 36

Sum of first n odd numbers = n2The above Pattern can be used to find the square root of the given number.1.   Obtain the given perfect square whose square root is to the calculated let the number be a.2.   Subtract from it successively 1, 3, 5, 7, 9 till you get zero.3.   Count the number of times the subtraction is performed to arrive at zero let the number be n.4.   Write Finding square root through Prime factorization. In order to find the square root of a perfect square by prime factorization.We follow the following steps.1.   Obtain the given number2.   Resolve the given number into prime factors by successive division.3.   Make pairs of prime factors such that both the factors in each pair are equal.4.   Take one factor from each pair and find their product.5.   The product obtained is the required square root.

Answered by ridhdhishkmodi
2

Answer: 484

Step-by-step explanation:

=22×22

=484

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