find the smallest no.by which 243 must be divided to get a perfect cube.Also find the cuberoot of the cube so obtained
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Step-by-step explanation:
We have 243 = 3 × 3 × 3 × 3 ×3
The prime factor 3 is not a group of three.
∴ 243 is not a perfect cube.
Now, [243] × 3 = [3 × 3 × 3 × 3 × 3] × 3
or 729 =3 × 3 × 3 × 3 × 3 × 3
Now, 729 becomes a perfect cube.
Thus, the smallest required number to multiply 243 to make it a perfect cube is 3.
The cube root of 729 is 9.
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