Question

7. Simplify: (a) (3 + √3) (2 + √2)
2
(b) √24
8 +
√54
9
(c) (
81
16)
−
3
4
x (
25
9
)
−3
2

8. If x = 3 − 2√2, find the value of (x +
1
x
)
2
. [Use identity (a+b)2=a2 + b2+2ab]
9. If x = 2+√3, find the value of x
2 +
1
x
2
. [Use identity (a+b)2=a2 + b2+2ab]
10. If x =
4+√15
2
, find the value of x
2 +
1
x
2
. [Use identity (a+b)2=a2 + b2+2ab]
11. If x = 4−√15, find the value of ( +
1

)
3
12. Find the values of a and b if
7+3√5
3+√5
+
7−3√5
3−√5
= a + b√5.

Answer 1

Answer:

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