Math, asked by Samkeet8594, 9 months ago

Prove that root 3 root 3 into 5 ki power minus 3 / cube root 3 ki power minus 1 into root 5 into 6 root of 3 into 5 ki power 6 is equal to 3 upon 5 ​Prove that root 3 root 3 into 5 ki power minus 3 / cube root 3 ki power minus 1 into root 5 into 6 root of 3 into 5 ki power 6 is equal to 3 upon 5 ​

Answers

Answered by DIWAKARrly
6

Answer:

How to Cube A Number

To cube a number, just use it in a multiplication 3 times ...

Example: What is 3 Cubed?

3 Cubed = cube 3x3x3

= 3 × 3 × 3 = 27

Note: we write "3 Cubed" as 33

(the little 3 means the number appears three times in multiplying)

Cubes From 03 to 63

0 cubed = 03 = 0 × 0 × 0 = 0

1 cubed = 13 = 1 × 1 × 1 = 1

2 cubed = 23 = 2 × 2 × 2 = 8

3 cubed = 33 = 3 × 3 × 3 = 27

4 cubed = 43 = 4 × 4 × 4 = 64

5 cubed = 53 = 5 × 5 × 5 = 125

6 cubed = 63 = 6 × 6 × 6 = 216

Cube Root

A cube root goes the other direction:

3 cubed is 27, so the cube root of 27 is 3

3 cube root direction 27

The cube root of a number is ...

... a special value that when cubed gives the original number.

The cube root of 27 is ...

... 3, because when 3 is cubed you get 27.

tree root

Note: When you see "root" think

"I know the tree, but what is the root that produced it?"

In this case the tree is "27", and the cube root is "3".

Here are some more cubes and cube roots:

cube root direction

4

64

5

125

6

216

Example: What is the Cube root of 125?

Well, we just happen to know that 125 = 5 × 5 × 5 (if you use 5 three times in a multiplication you will get 125) ...

... so the cube root of 12

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