root 2 x root 53
The square roots of 148 are irrational number and so cannot be represented in fractional form.
A rational number is one that can be written as a fraction, with whole numbers in the numerator and the denominator. For example, 1/2, 5/2, 3 = 3/1, etc. An irrational number can't be written as such a fraction. This includes most square roots, cubic roots, and higher roots; the result of logarithms, exponential function, trigonometric functions, etc., for most inputs, and special numbers such as pi and i.
Simplest radical form means simplifying a radical so that there are no more square roots, cube roots, 4th roots and such left to find. It also means removing any radicals in the denominator of a fraction.
Concrete.
Most square roots are irrational numbers and cannot be represented as a fraction.
The square roots of 25 are integers, not fractions.
root 2 x root 53
You can approximate a square root as a decimal or fraction. If you want the exact number, you have to leave it with the square root sign.
The square roots of 148 are irrational number and so cannot be represented in fractional form.
The square roots of 81 are integers, not fractions. So there are no sensible ways to express them as fractions.
No. A number will have a rational square root, only if both the numerator and denominator of the simplified fraction are squares of integers.
Most square roots, cube roots, etc. - including this one - are irrational numbers. That means you can't write them exactly as a fraction. Of course, you can calculate the cubic root with a calculator or with Excel, then find a fraction that is fairly close to it.
The square roots of 50 are irrational numbers. You cannot turn irrational numbers into fractions, which are rational numbers.
Nesting of square roots refers to the situation when a square root is written inside another square root. For example, if we have √(√9), this is an example of nesting square roots. It means that we are taking the square root of a number, and then taking the square root of that result.
Exponents are usually written like this: 3^2 means "3 to the second power". Square roots are often written with sqrt in front, such as as sqrt(5)
In general, it's impossible to represent square roots as fractions of rational numbers; however, in the specific case of 9, it's a perfect square and the roots are 3 and -3. If you insist on fractions, 3/1 and -3/1.