Question

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

Answer 1

anna challenge completed

plz mark as BRAINLIEST

ive put in a lot of effort in this

Answer 2

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