The number or expression created under a root symbol or radical sign is well-known as a radicand in math. The is an expression of which we room taking a root. Because that example, if us say the the cube root of 27 is 3. Here, 27 is the radicand.

You are watching: What is a radicand in algebra

A radicand, in math, is one expression or any kind of number or variable written inside a root symbol. That is the amount of i beg your pardon we are finding the root. The hatchet "radicand" is supplied when we learn about exponents and roots. Therefore the value of radicand in √2 is 2. Some examples of radicand are given below:

3√(pq) → pq is the radicand

√(a+b) → a + b is the radicand

4√15 → 15 is the radicand

A radical is a symbol offered to signify the source of a number. The is represented as √. And also the hatchet or expression written listed below the radical sign is called the radicand. So, it can be said that radical is the prize of the radicand. In various other words, the radicand prize is √.

There is one much more term linked with the radicand which is dubbed index. Let's learn about it.

Till now, you must have already understood the an interpretation of radicand. Now, if us observe the over examples carefully, friend will find that over there is a tiny number created on the peak left that the radicand sign. Its value is generally a organic number greater than 1. For an instance, in 3√(pq), 3 is written on the height left that the radicand. This amount is well-known as an index in math. In an easy words, the is the worth of the root. In case when over there is no worth of index pointed out on the left of the radicand symbol, we think about the value of the index together 2.

Check these interesting short articles related come the principle of radicand in math.

Example 1: identify the radicand in the expression √53 + 24 - ab.

Solution: In the offered expression √53 + 24 - ab, there is only one term composed under the radical sign which is 53. Therefore, 53 is the radicand.

Example 2: simplify the radicand in the offered expression: √128 × √32.

Solution: follow to the radicand rules, √x.√y = √xy. So, √128 × √32 = √(128×32) = √4096 = 64. Therefore, 64 is the required answer.

Example 3: determine the values of radicand and index in the expression 8√122.

Solution: The provided expression deserve to be composed as 8√144, together 122 = 144. The table of contents is the number created on the peak left of the radical sign. And also radicand is the number or expression created under the root symbol. Therefore, 8 is the index and 144 or 122 is the radicand.

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### What is Radicand in Math?

The radicand in algebra is the term composed under a radical sign or a root symbol. Because that example, if that is offered that 10 is the square source of 100. Here, 100 is the radicand.

There are three terms associated with the exponents and roots - radical, index, and radicand. Radical is the price of radicand, an index is a number written on the height left of the radical sign which denotes the order, and radicand is the ax or the expression of i m sorry we room taking a root. Because that example, if the is offered that the cube source of 64 is 4. We deserve to write it as 3√64 = 4. Here, 64 is radicand, 3 is the index, and also √ is the radical sign.

### What is the Radicand in the Expression?

In an expression, radicand is the term(s) created under the root symbol. In the expression √64 - p + q - pq, the value of radicand is 64.

### What if the Radicand is Negative?

If over there is a an unfavorable radicand, it indicates that its root is negative. The root of that number will certainly be imaginary.

Multiplying radicals with the very same radicand outcomes in the worth of radicand only (without source symbol). For example, √x × √x = x.

To simplify radicals with an adverse radicand, one should be acquainted with the principle of facility numbers. We use iota (i) to remove the an unfavorable sign indigenous the radicand. Because that example, √-81 have the right to be created as i√81, wherein the value of iota is √-1.

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