cube is 43200 ? which is to be multiplied to make it a perfect cube ? (i got 3 unpaired number which number is to be multiplied ? to make it a perfect square ?)
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43200 = 2 × 216 × 100
= 2 × 2 × 108 × 10 × 10
= 2 × 2 × 2 × 54 × 2 × 5 × 2 × 5
= 2 × 2 × 2 × 2 × 27 × 2 × 5 × 2 × 5
= (2 × 2 × 2) × (2 × 2 × 2) × (3 × 3 × 3) × 5 × 5
Notice that the numbers 2 and 3 are in triplets whereas 5 is not
Hence we have to multiply by 5 to make 43200 a perfect cube.
Step by step simplification process to get cube roots radical form and derivative:
First we will find all factors under the cube root: 43200 has the cube factor of 144.
Let's check this width ∛144*25=∛43200. As you can see the radicals are not in their simplest form.
Now extract and take out the cube root ∛144 * ∛25. Cube of ∛144=12 which results into 12∛25
All radicals are now simplified. The radicand no longer has any cube factors.
Hope This Helps :)
= 2 × 2 × 108 × 10 × 10
= 2 × 2 × 2 × 54 × 2 × 5 × 2 × 5
= 2 × 2 × 2 × 2 × 27 × 2 × 5 × 2 × 5
= (2 × 2 × 2) × (2 × 2 × 2) × (3 × 3 × 3) × 5 × 5
Notice that the numbers 2 and 3 are in triplets whereas 5 is not
Hence we have to multiply by 5 to make 43200 a perfect cube.
Step by step simplification process to get cube roots radical form and derivative:
First we will find all factors under the cube root: 43200 has the cube factor of 144.
Let's check this width ∛144*25=∛43200. As you can see the radicals are not in their simplest form.
Now extract and take out the cube root ∛144 * ∛25. Cube of ∛144=12 which results into 12∛25
All radicals are now simplified. The radicand no longer has any cube factors.
Hope This Helps :)
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