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factor the perfect square

simplify the perfect root

factor out the perfect cube

simplify the perfect root

√32 = √16

= √8◦2

= 4√2

move 8 out and simplify it to a perfect square

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Maximo Witting

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4y ago

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What is the square root of 6 in simplifying radicals?

sqrt(6) cannot be simplified.


Meaning of dissimilar RADICALS?

Dissimilar radicals refer to expressions that contain different radical terms or roots, often involving different numbers or variables under the radical sign. For example, √2 and √3 are dissimilar radicals because they involve different numbers. These radicals cannot be combined or simplified together in algebraic expressions, unlike similar radicals that share the same root. Understanding dissimilar radicals is important in operations such as addition, subtraction, or simplifying expressions involving radicals.


What is the square root of 192 in simplifying radicals?

sqrt(192) = sqrt(16.12) = sqrt(16)*sqrt(12) = 4*sqrt(12)


Why is it important to always factor the radicand first when simplifying radicals?

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.


When solving simplifying radicals an steps be deleted?

When simplifying radicals, it's crucial to follow specific steps to ensure accuracy. You should first factor the radicand (the number under the radical) into its prime factors, then identify perfect squares and simplify accordingly. Some steps may seem redundant, but each contributes to a clear and correct final result. Deleting steps can lead to errors or misunderstandings in the simplification process.

Related Questions

How does knowledge of simplifying radicals help when using the Pythagorean Theorem?

hello


What is the square root of 6 in simplifying radicals?

sqrt(6) cannot be simplified.


What is the square root of 16 in simplifying radicals?

The square root of 16 is 4.


What is the square root of 75 in simplifying radicals?

√75 = √(25 x 3) = √25 x √3 = 5 √3


Meaning of dissimilar RADICALS?

Dissimilar radicals refer to expressions that contain different radical terms or roots, often involving different numbers or variables under the radical sign. For example, √2 and √3 are dissimilar radicals because they involve different numbers. These radicals cannot be combined or simplified together in algebraic expressions, unlike similar radicals that share the same root. Understanding dissimilar radicals is important in operations such as addition, subtraction, or simplifying expressions involving radicals.


What is the square root of 192 in simplifying radicals?

sqrt(192) = sqrt(16.12) = sqrt(16)*sqrt(12) = 4*sqrt(12)


Why is it important to always factor the radicand first when simplifying radicals?

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.


What is the square root of 54 in simplifying radicals?

sqrt(54) = sqrt(9*6) = sqrt(9)*sqrt(6) = 3*sqrt(6)


When solving simplifying radicals an steps be deleted?

When simplifying radicals, it's crucial to follow specific steps to ensure accuracy. You should first factor the radicand (the number under the radical) into its prime factors, then identify perfect squares and simplify accordingly. Some steps may seem redundant, but each contributes to a clear and correct final result. Deleting steps can lead to errors or misunderstandings in the simplification process.


What is simplest radical form?

Simplest radical form means simplifying a radical so that there are no more square roots, cube roots, 4th roots and such left to find. It also means removing any radicals in the denominator of a fraction.


What is meant by acidic radicals?

electronegative radicals are anions or acid radicals.


What is the square root of 60 in simplifying radicals?

The square root of 60 is the square root of 2 x 2 x 3 x 5. When that is simplified, a 2 comes out from under the radical sign, resulting in a final answer of 2 radical 15.