Simplify cube root of 108(√[3](108)) 相关知识点: 试题来源: 解析 Rewrite ( 108) as ( 3^3⋅ 4).(√[3](3^3⋅ 4))Pull terms out from under the radical.( 3√[3]4)The result can be shown in multiple forms.Exact Form:( 3√[3]4)Decimal Form:( 4.76220315… )...
Simplify the following radical expression:−273. Cube Root: The cube root of a number is defined as the specific number when it multiplied three time or cubed produced the number. Form example 2 is the cube root of 8 it means we can find 8 when we multiplied 2 three times. ...
outx3. 5xy23+33(x3x)y53 outy3. 5xy23+33(x3x)(y3y2)3 Movex. 5xy23+33(x3)y3xy23 Rewrite33(x3)y3as(3xy)3. 5xy23+(3xy)3xy23 5xy23+(3xy)3(xy2)3 53√xy2+3√(3xy)3(xy2)5xy23+(3xy)3(xy2)3 Pulltermsout from under the radical. ...
Enter a problem...Algebra ExamplesPopular Problems Algebra Simplify cube root of x^5Step 1 Factor out .Step 2 Pull terms out from under the radical.
Step 1: Identify the properties ofω We know thatωis a primitive cube root of unity. This means: ω3=1and1+ω+ω2=0 From this, we can derive that: ω2=−1−ωandω4=ωandω8=ω2 Step 2: Rewrite the expression Using the properties ofω, we can rewrite the expression: ...
If we consider what we did in the first example and multiply the roots together, we get the 12th root of 27. That is not something we can evaluate in our heads. So, let's try the other approach of evaluating one root. We know that the cube root of 27 is 3. That leaves us with...
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Remember that you can take the cube root of a negative expression. In the next example, we will simplify a cube root with a negative radicand.Example Simplify. 3√−27x4y3−27x4y33 Show Solution You could check your answer by performing the inverse operation. If you are right, when ...
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