Question

Can anyone solve this please.No spam. please its urgent ​

Answer 1

Answer:

1. 3375

2. No

3. 3

4. 7

5. 4913

6. 90

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Answer 2

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$\red\longrightarrow Given \: in \: assignment$

$\sf\underbrace\orange{Required\:Answer:}$

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↪Number Given:-

Find the cube of 15

↪Answer:-

3,375 is the cube root of —15

↪Deatils

Cube(a3) = 3375

Cube root ∛a = 2.466

$\sf\underline{Answer\:2:}$

↪Number Given:-

Is 3087 a perfect cube?

↪Answer:-

Yes

↪Explanation:

3 is the smallest number by which 3087 must be divided so that the quotient is a perfect cube. we have to find the smallest number by which 3087 must be divided so that the quotient is a perfect cube. Therefore we need to multiply 3087 by 3 to make it a perfect cube.

$\sf\underline{Answer\:3:}$

Step 1: Find the prime factors of 729

729 = 3 × 3 × 3 × 3 × 3 × 3

Step 2: Clearly, 729 is a perfect cube. Here we will be using laws of exponents.

729 = 36 [am × an = am+n]

729 = [32]3 [(am)n = amn]

729 = 93

Step 3: Now, we will apply cube root to both the sides of the above expression to take out the factor as a single term, which is in cubes.

3√729 = 3√(93)

So, here the cube root is cancelled by the cube of 9.

Hence, 3√729 = 9

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$\sf\underline{Answer\:4:}$

↪The cube root of 2197, represented as 3√2197, is a value which results in the original number, on getting multiplied by itself, three times. Basically, the cube root of number implies the root of a cubed number. In other words, if p3 = q, then 3√q = p. Therefore, the cube root is the inverse method of finding the cube of a number.

↪Let 3√2197 = x, then 2197 = x3. Now, we need to find here the value of x. The fastest method to find the value of the cube root of a four-digit number, 2197, is the estimation method. Although, we will also look into the prime factorisation method for better understanding.

↪Cube root of 2197, 3√2197 = 13

$\sf\underline{Answer\:5:}$

3√ 17 = 2.5712815907

$\sf\underline{Answer\:6:}$

Number Given:-

2^3 × 3^3 × 3^3 × 5^3

Answer:-

729000

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