Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.
√ 45 = 3√5. Therefore, the square root of 45 in radical form is 3√5. Square Root of 45 in Radical Form: 3√5.
Radical Examples
An expression that uses a root, such as a square root, cube root is known as a radical notation. Therefore, 33/2 in radical form is √33 = √27.
What is the Square Root of 150 in Simplest Radical Form? We need to express 150 as the product of its prime factors i.e. 150 = 2 × 3 × 5 × 5. Therefore, √150 = √(2 × 3 × 5 × 5) = 5 √6. Thus, the square root of 150 in the lowest radical form is 5 √6.
Simplified Radical Form of Square Root of 72
The factorization of 72 is 2 × 2 × 2 × 3 × 3 which has 1 pair of the same number. Thus, the simplest radical form of √72 is 6√2.
The simplified form of the square root of 50 is 5√2 or 7.07 (approximately).
The square root of 68 in the simplest radical form is 2√17. It cannot be simplified further.
In Maths, the square root of 24 is equal to 2√6 in radical form and 4.898979485 in decimal form.
In the simplest form, the √20 can be written as 2√5.
If it is written in the radical form, then the simplest radical form of the square root of 32 is 4√2. Square Root of 32 in Radical Form: 4√2.
Simplified Radical Form of Square Root of 11
But the prime factorization of 11 is 11 × 11 which has no pairs of the same numbers. Therefore, √11 is in the lowest form and cannot be simplified further.
Radical - The √ symbol that is used to denote square root or nth roots.
Given example of basic radicals are as follows: Na+,Fe2+,Ag+,Al3+,Cr3+,Au3+,Co2+,Ni2+,Hg2+,Sn2+
The square root of 3 is expressed as √3 in the radical form and as (3)½ or (3)0.5 in the exponent form. The square root of 3 rounded up to 7 decimal places is 1.7320508.