Question

the value of √1.96 x √0.04 is​

Answer 1

Answer:

The value of √1.96×√0.04 is 0.28

Answer 2

The question is the value of √1.96 x √0.04 is

In this question, we have to find the product of the root of two numbers, the numbers 1.96 and 0.04.

If a number is multiplied twice we get a square number, the multiplied number is a root of the square

number.

The square root of the number 1.96 is obtained by the prime factorisation method

multiply the 1.96 by 100 to get a whole number

$2)196 \\ 2)98 \\7 )49 \\ 7)7 \\ )1$

The prime factors are

$\sqrt{ {2}^{2} \times {7}^{2} }$

removing square root we get the value as

$2 \times 7 = 14$

divide the number by 10, because we multiplied the number by 100 now we have to divide the number by √100 which is 10.

$\frac{14}{10} = 1.4$

likewise the square root of 0.04 is obtained as

$\sqrt{0.04} = 0.2$

Therefore, the product of these roots will be

$1.4 \times 0.2 = 0.28$

Therefore, the final answer to the given question is 0.28

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