Explanation

Given x = 3 - √8:

Step 1: Find 1/x

To rationalize the denominator, first simplify √8 to 2√2.

x = 3 - 2√2

1/x = 1 / (3 - 2√2)

Multiply numerator and denominator by the conjugate (3 + 2√2):

1/x = (3 + 2√2) / ((3 - 2√2)(3 + 2√2))

= (3 + 2√2) / (9 - 8)

= 3 + 2√2

Step 2: Calculate x + 1/x

x + 1/x = (3 - 2√2) + (3 + 2√2)

= 6

Explanation

In the sentence "This is Pakistani cloth in the market":

"Pakistani" is an adjective describing the noun "cloth" (specifying its origin/type).

"Market"/"Cloth": Nouns.

"This": Pronoun (subject).

Explanation

The ability to communicate clearly is most effectively developed through collaborative work, as it provides:

• Real-time feedback (peers correct misunderstandings).
• Diverse perspectives (exposure to different communication styles).
• Practical negotiation (resolving conflicts verbally).

Explanation

Authoritative knowledge is often trusted (reliable) but may also be contingent on context.

It is usually passed down through generations and is a significant source in cultures and education.

Explanation

Abiotic components are non-living parts of the environment.

Water vapor is a non-living element.

While beetle, apple, and lion are living organisms.

Explanation

x + y is an expression because it shows a combination of variables and operations without an equal sign.

An equation must include an equal sign (e.g., x + y = 5).

Explanation

• A Cash Book is a financial journal that records all cash transactions, including income and expenses, on a daily basis.
• It is used to keep track of the flow of cash into and out of the school, and is a crucial tool for managing the school's finances.

Explanation

• The philosophical foundation of curriculum is concerned with ideas.
• It involves examining fundamental beliefs, values, and principles that shape educational goals, content, and practices.
• These philosophical ideas influence the conception of knowledge, the nature of learning, and the purpose of education within the curriculum.

Explanation

"Had done" is past perfect, showing the work was completed before Aslam arrived.

"Came" is simple past, indicating the time Aslam came to see you.

Explanation

Singer and Nicolson proposed the Fluid Mosaic Model in 1972 to describe the flexible, dynamic structure of the cell membrane.

It shows proteins floating in a fluid layer of phospholipids, like a "mosaic."