Question

find the fraction which when multiplied by itself gives 361/441 as a result pls answer me step by step ​

Answer 1

Answer:

What is your इंस्टाग्राम आयडी प्लिज बताओ

Answer 2

Step-by-step explanation:

Given :-

361/441

To find :-

Find the fraction which when multiplied by itself gives 361/441 as a result ?

Solution :-

Let the required fraction be X/Y

On multiplying with itself then

=> (X/Y)×(X/Y)

=> X²/Y²

According to the given problem

The result when the fraction multiplied by itself = 361/441

=> X²/Y² = 361/441

=>(X/Y)² = (19×19)/(21×21)

=> (X/Y)² = 19²/21²

=> (X/Y)² = (19/21)²

On Comparing both sides then

=>X/Y = 19/21

Therefore , X/Y = 19/21

Answer:-

The required fraction for the given problem is 19/21

Check :-

The fraction = 19/21

=> (19/21)×(19/21)

=> (19×19)/(21×21)

=> 361/441

Verified the given relation in the given problem.

Used formulae:-

• (a/b)^m = a^m / b^m