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In this lesson, we will learn how to solve problems involving operations and properties of operations on real numbers.

Q1:

Given that the dimensions of a rectangle are 1 2 + √ 2 cm and 1 2 − √ 2 cm, find its area.

Q2:

Find the multiplicative inverse of √ 6 3 0 .

Q3:

Given that 𝑎 √ 3 is the multiplicative inverse of 1 √ 3 , find the value of 𝑎 .

Q4:

What is the additive inverse of 9 1 √ 1 7 ?

Q5:

Find the multiplicative inverse of √ 6 + √ 7 expressing your answer in simplest form.

Q6:

Given that 𝑎 5 is the multiplicative inverse of √ 5 1 1 , find the value of 𝑎 .

Q7:

Given that the multiplicative inverse of √ 𝑎 + 2 is √ 𝑎 − 2 1 0 , find the value of 𝑎 .

Q8:

Complete √ 3 + 1 2 = 1 2 + .

Q9:

Complete √ 2 + 1 3 = 1 3 + .

Q10:

What is the additive inverse of √ 6 5 − √ 8 5 ?

Q11:

Find the multiplicative inverse of 1 2 √ 1 4 .

Q12:

Find the multiplicative inverse of √ 0 . 3 6 , giving your answer in its simplest form.

Q13:

Find the additive inverse of 8 − √ 1 3 5 .

Q14:

Which of the following equations illustrates the multiplicative inverse property?

Q15:

Given that 𝑥 = √ 1 1 2 √ 8 , find 𝑥 − 1 .

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