Question

rationalize the denominator of 4root3/5root5 and hence find their value up to 3 decimal places​

Answer 1

Given :  4√3 / 5√5

To find : Value upto 3 Decimal Places

Solution:

4√3 / 5√5

= (4√3 / 5√5 ) * (√5/√5)

= ( 4√3 * √5) / ( 5√5 * √5)

= 4√15 / (5 * 5)

= 4√15 / 25

= (4√15 / 25) * (4/4)

= 16√15 / 100

√15 = 3.87

= 16 * 3.87 /100

= 61.92/100

= 0.6192

= 0.619

4√3 / 5√5 =  0.619

Learn More:

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Answer 2

Step-by-step explanation:

Given Rationalize the denominator of 4 root 3/5 root 5 and hence find their value up to 3 decimal places

• Given we need to rationalize the denominator.
• Given 4√3 / 5√5
• So rationalize is to multiply both numerator and denominator by 5 √5
• So we get  
• 4√3 / 5 √5 x 5 √5 / 5√5
• So we get
• 20 √ 15 / 25 x 5
• We can write this as  
• 4 x √ 5 x √3 / √5 x √5 x 5
• 4√3 / 5√5
• 4 x 1.732 / 5 x 2.236
• = 0.619  

Reference link will be

https://brainly.in/question/4286263