Question

can anyone help me with this problem please. ​

Answer 1

Answer:

Q.3

1. irrational

2. irrational

3.irrational

4.rational

Step-by-step explanation:

Answer 2

Q3.

i) 4√5 is an irrational number.

ii) 0.323223222..... is a rational number.

iii) √64 is rational number.

iv) 7/50 is a rational number.

Q4. The decimal representation of 8/27 is 0.2963.

Q5. We need to multiply the numerator and denominator of 1/(√7 - 2) by √7 + 2, to get

1/(√7 - 2) x (√7 + 2)/(√7 + 2)

= (√7 + 2)/(√7 - 2)(√7 + 2)

We need to apply the formula (a - b)(a + b) = a² - b² in the denominator to get

1/(√7 - 2) = (√7 + 2)/(√7)2 - (2)2 = (√7 + 2)/(7 -4) = (√7 + 2)/3

Therefore, we conclude that on rationalizing the denominator of 1/(√7 - 2), we get (√7 + 2)/3.

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