Question

Simplify
a) √28 + √63 + √175
b) ∜16 – 6 ∛343 +18 √243 5
– √196
c) 12 √18 - 6 √128 - 3 √80 + 8 √45
2. If x= 7 - 4√3 then find the value of (a) (
x +
1
x
)
2 (b). x
2 +
1
X2

3. Find ‘a’ and ‘b’ if a) √5+√3
√5−√3
= a - b√15

b) 3+√7
3−√7
-
3−√7
3+√7
= a + b√7

4. Simplify a) 1
2+√3
+
2
√5−√3
+
1
2−√5

b) 2
√5+√3
+
1
√3+√2
-
3
√5+√2
5. If x= 9-4√5 , find (a). √x -
1
√x
(b). x -
1
x
(c). x2 +
1
X2

6. If √5 = 2.2 and √10 = 3.2 , then find the value of 15

√10+ √20+√40−√5−√80

7. Prove that 1
3−√8
-
1
√8−√7
+
1
√7−√6
-
1
√6−√5
+
1
√5−2
= 5

8. If x= 3+√5
3−√5
and y= 3−√5
3+√5
, Find (a). x
2
- y
2 (b). (x+y)2
9. Represent a) √8.8 b) √6 on the number line
10. Evaluate (
81
16
)
−3
4
⁄
[(
25
9
)
−3
2
⁄ ÷ (
5
2
)
−3
]

Answer 1

Answer:

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