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प्रश्न
Making use of the cube root table, find the cube root
7000
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उत्तर
We have: \[7000 = 70 \times 100\]
∴ \[\sqrt[3]{7000} = \sqrt[3]{7 \times 1000} = \sqrt[3]{7} \times \sqrt[3]{1000}\]
By the cube root table, we have:
\[\sqrt[3]{7} = 1 . 913 \text{ and } \sqrt[3]{1000} = 10\]
∴ \[\sqrt[3]{7000} = \sqrt[3]{7} \times \sqrt[3]{1000} = 1 . 913 \times 10 = 19 . 13\]
संबंधित प्रश्न
Write the cubes of all natural numbers between 1 and 10 and verify the following statements:
(i) Cubes of all odd natural numbers are odd.
(ii) Cubes of all even natural numbers are even.
Which of the following is perfect cube?
1728
What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?
675
By taking three different values of n verify the truth of the following statement:
If n is odd, then n3 is also odd.
By taking three different values of n verify the truth of the following statement:
If n leaves remainder 1 when divided by 3, then n3 also leaves 1 as remainder when divided by 3.
Find if the following number is a perfect cube?
1728
Find the cube-root of 729.
Find the cube-root of `125/216`
Find the cube-root of `(729)/(-1331)`
Find the smallest number by which 200 should be multiplied to make it a perfect cube
