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The question is based on the premise that It is not possible to simplify a radical without first factorising it. That is simply not true. Beginners may find it a useful step but that does not make it "important to always factor".

Simplifying radicals entails removing square factors of the radicand from under the radical. This can be done without factoring first.

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Can the radicand be negative when the index is even?

Given that the radicand is part of the question, not part of the answer, you can make the radicand whatever you want it to be. However, in any given root sum, for example, sqrt(-4), if the index is even, such as it is in a square root sum, the answer will always be positive. If the index is odd, and the radicand is negative, the answer will also be negative.


How can you simplify fraction?

To simplify a fraction, you find a number that can be divided by the fraction you are simplifying. sometimes this does not always work and the fraction can not be simplified.


What is the rule of simplifying expressions?

The rule of simplifying expressions involves combining like terms, applying the distributive property, and reducing fractions where possible. This process includes eliminating unnecessary parentheses, consolidating terms with the same variable or constant, and performing any arithmetic operations. The goal is to rewrite the expression in its simplest form while maintaining its value. Always ensure to follow the order of operations (PEMDAS/BODMAS) when simplifying.


How do you get the variable by itself in a multi-step inequality problem?

To isolate the variable in a multi-step inequality, start by simplifying the inequality as needed, such as distributing or combining like terms. Next, use inverse operations to eliminate any coefficients or constants attached to the variable, maintaining the inequality's direction (reversing it if you multiply or divide by a negative number). Finally, continue simplifying until the variable is alone on one side of the inequality. Always check your solution by substituting back into the original inequality.


How important or real is this world to the soul that is returning to Brahman?

Not at all important. Can always get back on the ride again later.

Related Questions

Can the radicand be negative when the index is even?

Given that the radicand is part of the question, not part of the answer, you can make the radicand whatever you want it to be. However, in any given root sum, for example, sqrt(-4), if the index is even, such as it is in a square root sum, the answer will always be positive. If the index is odd, and the radicand is negative, the answer will also be negative.


When simplifying an expression you a always b sometimes c never perform operations inside grouping symbols first?

A


How can you simplify fraction?

To simplify a fraction, you find a number that can be divided by the fraction you are simplifying. sometimes this does not always work and the fraction can not be simplified.


What is the rule of simplifying expressions?

The rule of simplifying expressions involves combining like terms, applying the distributive property, and reducing fractions where possible. This process includes eliminating unnecessary parentheses, consolidating terms with the same variable or constant, and performing any arithmetic operations. The goal is to rewrite the expression in its simplest form while maintaining its value. Always ensure to follow the order of operations (PEMDAS/BODMAS) when simplifying.


Why initiator efficiency in any free radical polymerization is always low?

Initiator efficiency in free radical polymerization is typically low because not all initiator molecules generate active radicals that are capable of initiating polymerization reactions. This is due to side reactions such as termination or chain transfer processes that can reduce the number of active radicals available for polymerization. Additionally, some radicals may not efficiently propagate the polymerization due to their reactivity or stability.


Why is relative frequencies important?

It depends on the circumstances. It is not always important


What is sixty percent as a fraction?

60/100 is the most direct representation. Simplifying down to 6/10 or 3/5. Percent means "per 100". So a percent is always that number divided by 100.


What is the important thing in dealing with customers?

The customer is always, always, right!


Do you always tell the truth in your job"?

It is important to always be honest in your job.


Does the word important always have a positive connotation?

No. If you are self-important, that is a negative.


Why is it important to have an objective?

its important to have an objective because you always supposed have an question to answer


When simplifying an expression do you always perform operations inside grouping symbols first?

It's possible to perform other operations first. But if you try it, there's a muchbigger chance that you'll get all tangled up and your result will be wrong.