What is the value of 3 √ 4 √ x when x 4096?

Answers

Answer 1

The value of 3 √ 4 √ x is 48

A number's square root is a value that, when multiplied by itself, yields the original number. The other way to square an integer is to find its square root. Squares and square roots are hence related concepts.

Assuming that x is the square root of y, the equation would be written as x=y or as x2 = y. The radical symbol for the number's root is "" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.

As per the question, 3 √ 4 √ x when x =4096

first we need to calculate square root of 4096 by  prime factorisation method

4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

4096 = (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2)

√4096 = √((2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2))

√4096 = 2 × 2 × 2 × 2 × 2 × 2

√4096 = 64

Therefore the square root of 4096 = 64.

x=64

now putting the value of x in  3 √ 4 √ x

= 3 √ 4 √ 64

= 3 √  256

=3×16

=48

so the value of 3 √ 4 √ x  is 48

To know more about square root visit : brainly.com/question/29775049

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Answer 2

Assuming that x is the square root of y, the equation would be written as x=y or as x2 = y. The radical symbol for the number's root is "" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.

4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

4096 = (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2)

√4096 = √((2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2))

√4096 = 64

x=64

= 3 as 4 as 64

= 3 as  256

=3×16

=48


Related Questions

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Answers

Hi for the answer is there any backstory or answer key at least?

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

A) Use the distance formula to find the length of each side, and then add the lengths.

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Answers

Answer:

No

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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