Question

by wich number show 294 multiply to make a perfect cube also find the cube root of the number obtained​

Answer 1

Answer:

Least number by which 294 must be multiplied to make it a perfect square is 6.

Step-by-step explanation:

Given : Number 294.

To find : The least number by which 294 must be multiplied to make it a perfect square?

Solution :

First we factor the number 294,

294=2\times 3 \times 7 \times 7294=2×3×7× 7

To make it a perfect square each number has their pair.

As 2 and 3 are singles.

So, We need to multiply it by 2 and 3 i.e. 6

So, Least number by which 294 must be multiplied to make it a perfect square is 6.

As 294\times 6=2^2\times 3^2 \times 7^2294×6=2

2

×3

2

×7

2

1764=(2\times 3\times 7)^21764=(2×3×7)

2

1764=(42)^21764=(42)

2

Step-by-step explanation:

hope it maybe helpful for you

Answer 2

Answer:

$1764 = (42)^2$

Step-by-step explanation:

$\huge{\mathfrak{Given}$ : Number 294.

$\mathfrak{To \: Find}$ : The least number by which 294 must be multiplied to make it a perfect square?

$\mathfrak{Solution}$ :

First we factor the number 294,

$294 =2 \times 3\times 7 \times 7$

To make it a perfect square each number has their pair.

As 2 and 3 are singles.

So, We need to multiply it by 2 and 3 i.e. 6

So, Least number by which 294 must be multiplied to make it a perfect square is 6.

$As \: 294 \times 6 = 2^2 \times 3^2\times7^2\\1764 = (2 \times 3 \times 7)^2\\1764 = (42)^2$

$\green{\huge{\boxed{\mathfrak{Hope \: its \: help \: You}}}}$