Question

The value of ( 3 + √5 )

2

( 3 - √5)

2

is​

Answer 1

Step-by-step explanation:

therefor root 5=2.236

=2.236+3

=5.236×2

=10.472

and 2nd equation

root 5 = 2.236

=3-2.236

=0.764×2

=1.528

Answer 2

Given : ( 3+ root 5)² ( 3- root 5 )²

To find : value of Given expression

Solution :

we have ( 3+root 5)²( 3-root 5)²,Now

using formula: (a+b)²= a²+ b²+ 2ab

using formula: (a+b)²= a²+ b²+ 2ab (a-b)²= a²+ b²-2ab

= [(3)²+ (root 5)²+ 2×3×root 5] [(3)²+(root5)²-2×3×root 5]

= [ 9+5+ 6 root 5] [ 9+ 5 - 6root 5]

= (14 + 6 root 5) ( 14 - 6 root 5]

Now ,using formula: a²- b²= (a+b)(a-b) in the above equation :

= (14)² - (6 root 5)² [( 6)²×5= 36× 5= 180]

= 256- 180 ( subtracting)

= 76

Answer: Value of ( 3+ root5)²( 3- root5 )²is 76.