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.
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.
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.
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.
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.
Not at all important. Can always get back on the ride again later.
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.
A
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.
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.
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.
It depends on the circumstances. It is not always important
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.
The customer is always, always, right!
It is important to always be honest in your job.
No. If you are self-important, that is a negative.
its important to have an objective because you always supposed have an question to answer
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.