its a giveaway
but all the questions should be answered (fully step by step and correctly )
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ALL THE BEST
prove that 3+2√5 is irrational
prove that √3 is irrational
find the value of m in 7(25-m) - 2m =2(2m-25)
expand (10+y)2
express 8.0025 in the form p/q
simplify 3√2 × 4√2 ×12√32
Answers
Answered by
35
anna challenge completed
plz mark as BRAINLIEST
ive put in a lot of effort in this
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Answered by
13
Heya Here's the required Answer mate
1)
Given:
- 3 + 2√5
To prove:
- 3 + 2√5 is an irrational number.
Proof:
- Let us assume that 3 + 2√5 is a rational number.
- So, it can be written in the form a/b
- 3 + 2√5 = a/b
- Here a and b are coprime numbers and b ≠ 0
- Solving 3 + 2√5 = a/b we get,
- =>2√5 = a/b – 3
- =>2√5 = (a-3b)/b
- =>√5 = (a-3b)/2b
- This shows (a-3b)/2b is a rational number. But we know that √5 is an irrational number.
- So, it contradicts our assumption. Our assumption of 3 + 2√5 is a rational number is incorrect.
- 3 + 2√5 is an irrational number
- Hence proved
2)
- 7(25-m)-2m=2(3m-25)
- 175-7m-2m=6m-50
- 175+50=6m+7m+2m
- 225= 15m
- or, m=225/15
- m =15
3)
- (10+y)^2
- = 100 + y^2 + 20y
4)
- please refer to the attachment
5)
- pls refer to the attachment
Hope it helps dear
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