Question

1. Simplify the following expression (3+√3) (2+√3).
2. Find the value of (√5+√7)2
3. If x = 2-√3, then find the value of x2 ( x2 means x square)

Answer 1

Answer:

3(2+root3)+root3(2+root3)

6+3root3+2root3+3

9+root3(3+2)

9+5root3

putting the value of root3

9+5×1.732

9+8.66

17.66

2.

2root5+2root7

putting the value of root5 and root7

2×2.23+2×2.64

4.46+5.28

9.74

3.

x=2-root3

x2=(2-root3)^2

with the help of identity (a-b)^2=a2+b2-2ab

here a=2 and b=root3

2^2+root3^2-2×2×root3

4+3-4root3

7- 4×1.732....(putting the value of root3)

7- 6.928

0.072