( √2 - √3 )² = ?

Question

if u know how to do this plz give examples
A. 5 - 2√6
B. 5 - √6
C. 1 - 2√6
D. 1 - √2
E. 1

Answer 1

( √2 - √3 )²
( √2 - √3 )( √2 - √3 )
(2-√6-√6+3)
(5-2√6)

=A. 5 - 2√6

Answer 2

You let √2 be a & √3 be b
( √2 - √3 )² = ( a - b )²

by expanding ( a - b )², you'll get : a ² - 2ab + b²

& solving this: (√2)² - 2√2√3 + (√3 )² = 2 - 2√6 + 3

= 5 - 2√6

Answer 3

Solve: (√2 - √3)²

First: rewrite the expression withouth the exponent....

(√2 - √3)(√2 - √3)

Sec: use the Foiling Method....

(√2)(√2)+(√2)(-√3)+(-√3)(√2)+(-√3)(-√3)

√(2*2)+(-√(2*3)+(-√(3*2)+√(3*3)

√(2*2) - √(2*3) - √(3*2) + √(3*3)

√4 - √6 - √6 + √9

2 - √6 - √6 + 3

Sec: combine "like" terms....

2 + 3 - √6 - √6

5 - √6 - √6

Third: place coefficients with the radical signs (1) & when you have the same number in a radical sign, combine the coefficients....

5 - 1√6 - 1√6

5 - 2√6

Answer 4

( √2 - √3 )² =2-2√6+3=5-2√6

A. 5 - 2√6 is correct

Answer 5

Alright, the answer is A.
this is the working
first, u expand the expression, u should have learnt it in ur algebra lessons.

i'll write root 2 as 2^1/2 and etc.
=(2^1/2 - 3^1/2)(2^1/2 - 3^1/2)
=2 - 2(2^1/2)(3^1/2) + 3
=5 - 2 (6^1/2)

which is A.
If my explanation is good enough, please choose as best answer. Thanks

Answer 6

( √2 - √3 )²
=(√2)² +(2)(√2)(-√3)+(-√3)²
=2 +(2)(√2)(-√3)+3
=5 -(2)(√2)(√3)
=5 -2√6

The answer is A

Answer 7

Expand...
(root2 - root3)(root2 - root3) = 2 + 3 - 2root6 = 5 - 2root6...yeah it's A...

Answer 8

=(rt2-rt3)^2 = (rt2)^2 +2 rt2rt3 +(rt3)^2 = 2 +2(rt2)(-rt3)+3 =

=2- 2rt6 +3 =5 -2rt6
.........answer is A.

Answer 9

its A
apply (a-b)²= a² + b² - 2ab