simplify √45 - 3√20 + 4√5 ( step wise)
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Answered by
493
First step : √45 - 3√20 + 4√5
Second: 3√5 -3*2√5 +4√5
Third: 3√5-6√5+4√5
Fourth: (3-6+4)√5
Fifth: (-3+4)√5
Answer= √5
(We had to separate the root 5 from all other terms. (Since it was common) Then on the basis of prime factorisation we took out the factors of 45 and 20, where we multiplied the other numbers and separated the root 5)
That way, 45 became root 3*3*5 and 20 became 2*2*5.
This is where we get the common root 5
Hope it helps :)
Second: 3√5 -3*2√5 +4√5
Third: 3√5-6√5+4√5
Fourth: (3-6+4)√5
Fifth: (-3+4)√5
Answer= √5
(We had to separate the root 5 from all other terms. (Since it was common) Then on the basis of prime factorisation we took out the factors of 45 and 20, where we multiplied the other numbers and separated the root 5)
That way, 45 became root 3*3*5 and 20 became 2*2*5.
This is where we get the common root 5
Hope it helps :)
Anonymous:
Please mark as brainliest
Can you explain thw second step
Sure, We had to separate the root 5 from all other terms. (Since it was common) Then on the basis of prime factorisation we took out the factors of 45 and 20, where we multiplied the other numbers and separated the root 5
So 45 became root(3*3*5)
I have edited my answer with the explanation. Hope it helps!
Answered by
165
√45-3√20+4√5
first step=*3*5-3√4*5+4√5
second step=*-6√5+4√5
third step =√ 5 is the answer ..
hope it help u
PLEASE MARK AS BRAINLIEST..
first step=*3*5-3√4*5+4√5
second step=*-6√5+4√5
third step =√ 5 is the answer ..
hope it help u
PLEASE MARK AS BRAINLIEST..
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