Mathematics, 04.02.2020 02:57 valeriestamann

How do you know if a radical expression is in simplest form?

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Answer from: harleyy6134

If the equation has ${n^{th}}$ root, then the simplest form has no factors of .

Further Explanation:

Explanation:

A expression than contain the ${n^{th}}$ root is known as the radical equation.

The symbol of the radical is $\sqrt[n]{x}.$

The radicand is a number that is in the radical.

The examples of the radical are as follows,

Consider the expression as $\sqrt {36}$

The simplest form of the expression is 6.

The radical expression is square root of 36.

The radicand is 36.

Now consider the expression as $\sqrt[3]{{27}}.$

The simplest form of the expression is 3.

The radical expression is cube root of 27.

The radicand is 27.

If the equation has ${n^{th}}$ root, then the simplest form has no factors of .

Learn more:

If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard link. Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? link.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Exponents and Powers

Keywords: radical expression, expression, factors, simplest form, square root, radicand, cube root, constant term.

Answer from: marcustuo1

" A radical expression is an expression containing a square root "

Radical: The √ symbol that is used to denote square root or nth roots.

Radicand: Radicand is a number or expression inside the radical symbol.

WE SAY THAT A SQUARE ROOT RADICAL is simplified, or in its simplest form, when the radicand has no square factors.

A radical is also in simplest form when the radicand is not a fraction.

Example: Simplify radicals $\sqrt{75}$

Solution: as the radicand i.e. 75 contains a square term since 75=25×3

and we know that 25=(5)^2

Hence we take out the square term out of the radical sign to obtain the simplified expression as:

$\sqrt{75}=5\sqrt{3}$ .

Example: Simplify $\sqrt{42}$

solution: as the radicand has the factors as:

42=2.3.7 ; as it is factored to prime numbers and there is no square term hence the given expression is already simplified.

Answer from: Quest

step-by-step explanation: yes

Answer from: Quest

the answer is 99.

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