Rationalise 1/root5 and explain
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✪ Answer : √5/5
✪ Step-by-step explanation :
Let's start that why we need to rationalize. It is dead sure that dividing 1 by root value of 5 is difficult. That's why there is strong need to rationalize which makes the calculation easier.
➣ How to rationalize?
= a/√b
= a/√b × √b/√b
= a√b/√b²
= a√b/b
➣ Similarly,
= 1/√5
= 1/√5 × √5/√5
= √5/√5² = √5/5
✪ Step-by-step explanation :
Let's start that why we need to rationalize. It is dead sure that dividing 1 by root value of 5 is difficult. That's why there is strong need to rationalize which makes the calculation easier.
➣ How to rationalize?
= a/√b
= a/√b × √b/√b
= a√b/√b²
= a√b/b
➣ Similarly,
= 1/√5
= 1/√5 × √5/√5
= √5/√5² = √5/5
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