Will the square root of a decimal number always be a decimal number?

Answer: No , the square root of decimal number always be a decimal number.

What does it mean when a square root has a number above it?

Imaginary numbers It states above that there is no real square root of a negative number. In use , we can use it to express the square root of any negative number. For example This means that the square root of –25 is the square root of +25 times the square root of negative one.

Why is the square root of a fraction larger?

The square root of a fraction between 0 and 1 is larger than the fraction being square rooted (eg. 1/2 x 1/2 = 1/4, so the square root of 1/4 is 1/2 which is larger). The square root of a real number may be smaller than, equal to, or greater than the original number.

Why is a decimal squared smaller?

When you square a decimal number it becomes smaller because while squaring the numerator you are squaring the denominator as well, hence the value becomes smaller. Thus 4^2 = 4*4 = 16.

Can a square root be a decimal?

For example, the square root of 24.01 is 4.9 as (4.9)2 = 24.01. The square root of a decimal number can be calculated by using the estimation method or the long division method. And then, the process of long division is carried out in the same way as any other whole number.

Is a square root always Plus or minus?

Why some people say it’s true: That’s exactly what I was taught in school: when you take a square root, the answer is always “plus or minus” some value.

Why is the square root of a number between 0-1 bigger?

Because when you multiply 2 numbers between 0, and 1. The answer is smaller, that is why when u take square root of a number between 0, and 1, The answer is bigger. Thanks for contributing an answer to Mathematics Stack Exchange! Please be sure to answer the question.

Do large numbers get smaller when you square them?

To rephrase my ending, when you square “large” numbers they get larger. When you square “small” numbers they get smaller. If you turn this around to be about square roots instead, you get your question. I know that it seems counterintuitive.

Is the product of two numbers bigger than the reciprocal?

The product of two numbers, each bigger than one, is bigger than either of them. However, the reciprocal of a number bigger than one is between zero and one and vice versa. But the reciprocal operation reverses the order relations. For example, two is less than three, but one half is bigger than one third.