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√6/5 = ---- × --- = ----√30
√5 √5 5
2. 10 5 √2 5
----- = ----- × ---- = ----√2
2√2 √2 √2 2
3. 4 4 1 - √5 4(1 - √5)
------- = -------- × --------- =----------
1+√5 1+√5 1 - √5 1 - 5
4 - 4√5
=-------- = -1 + √5 = √5 - 1
-4
4. 8√3 8√3 √10 + √2
------- = ------------ × ------------
√10-√2 √10 - √2 √10 + √2
8√3 (√10 + √2) 8√3 (√10 + √2)
=------------------ = ------------------
10 - 2 8
√3 (√10 + √2) = √30 + √6
5. √3 - √2 √3 - √2 2√5 + 2√6
---------- = ---------- × ------------
2√5 - 2√6 2√5 -2√6 2√5 + 2√6
(√3 - √2)(2√5 + 2√6)
=-------------------------
(2√5)(2√5)- (2√6)(2√6)
(√3)(2√5) + (√3)(2√6) +(-√2)(2√5)+(-√2)(2√6)
=-------------------------------------------
20 - 24
2√15 + 2√18 - 2√10 - 2√12
=--------------------------------
-4
2√15 + 2√9.2 - 2√10 - 2√4.3
=----------------------------------
-4
2√15 + 6√2 - 2√10 - 4√3
= -----------------------------
-4
1 3 1
=- --√15 - ----√2 + ---√10 + √3
2 2 2