Explained: "To simplify the expression, 23."

High School
Algebra
Pre-Algebra
Factors and multiples

smileycellist2

Answered question

2021-08-06

To simplify the expression,

\sqrt{23}

Answer & Explanation

avortarF

Skilled2021-08-07Added 113 answers

Concept used:
To simplify an expression having square root of a number, firstly factorization of the number is done and then factors having even exponential powers are taken out from the square root function and their exponential powers are divided by two.

\Rightarrow \sqrt{m^{4} \times n^{2}} = m^{\frac{4}{2}} \times n^{\frac{2}{2}} = m^{2} \times n^{1}

Calculations:
As per the question, the expression is

\sqrt{23}

.
The factorization of a number is the product of numbers that equals the number.
Now, 23 is a prime number. Hence, it has only two multiples i.e. 1 and 23.
Therefore, 12 cannot be factorized anymore.
Hence, the simplified value of

\sqrt{23}

\sqrt{23}

only.

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