1/✓2+✓3
rationalization of denominators
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Answer:
√3-√2
______
1
Step-by-step explanation:
1
_____
√2+√3
To rationalize the denominator, We have to use the formula
a a √b-√c
______ = ______ × _______
√b+√c √b+√c √b-√c
So,
1 1 √2-√3
_____ = ______ × _____
√2+√3 √2+√3 √2-√3
= √2-√3
_________
(√2)²-(√3)²
( square and root cancels )
= √2-√3
______
2-3
= √2-√3
______
-1
= -√2+√3
_______
1
= √3-√2
______
1
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