Can 12 be a rationalising factor for 3 ? Can you think of any other number as a rationalising factor for 3 ?

Rationalising factor is a term with which a term is multiplied or divided to make the whole term rational. Yes. 12 can be a rationalising factor of 3 . Because, 12 × 3 = 36 = 6 . When we multiply 12 with 3 ,we get a rational number 6 . Consider another number to be 27 . When we multiply 27 with 3 ,we get the product as 27 × 3 = 81 = 9 which is a rational number. Hence, 27 is a rationalising factor for 3 .

Can 12 be a rationalising factor for 3 ? Can you think of any other number as a rationalising factor for 3 ?

Rationalising factor is a term with which a term is multiplied or divided to make the whole term rational. Yes. 12 can be a rationalising factor of 3 . Because, 12 × 3 = 36 = 6 . When we multiply 12 with 3 ,we get a rational number 6 . Consider another number to be 27 . When we multiply 27 with 3 ,we get the product as 27 × 3 = 81 = 9 which is a rational number. Hence, 27 is a rationalising factor for 3 .

E M B I B E

Mathematics Standard 9>Chapter 2 - Real Numbers>Thinking Corner>Q 1

MEDIUM

9th Tamil Nadu Board

IMPORTANT

Earn 100

Can $\sqrt{12}$ be a rationalising factor for $\sqrt{3}$ ? Can you think of any other number as a rationalising factor for $\sqrt{3}$ ?

Important Questions on Real Numbers

MEDIUM

9th Tamil Nadu Board

IMPORTANT

Mathematics Standard 9>Chapter 2 - Real Numbers>Thinking Corner>Q 2

Can you think of any number as a rationalising factor for

\sqrt[7]{5^{3}}

?

EASY

9th Tamil Nadu Board

IMPORTANT

Mathematics Standard 9>Chapter 2 - Real Numbers>Thinking Corner>Q 3

If there can be many rationalising factors for an expression containing a surd, is there any advantage in choosing the smallest among them for manipulation?

MEDIUM

9th Tamil Nadu Board

IMPORTANT

Mathematics Standard 9>Chapter 2 - Real Numbers>Exercise>Q 1

Using addition and subtraction properties of surds, if $5 \sqrt[3]{40} + 2 \sqrt[3]{625} - 3 \sqrt[3]{320} = k \sqrt[3]{5}$ then find $k$ .

EASY

9th Tamil Nadu Board

IMPORTANT

Mathematics Standard 9>Chapter 2 - Real Numbers>Exercise>Q 2

The product: $\sqrt{3} \times \sqrt{5} \times \sqrt{2}$ is $\sqrt{k}$ . Write the value of $k$

EASY

9th Tamil Nadu Board

IMPORTANT

Mathematics Standard 9>Chapter 2 - Real Numbers>Exercise>Q 2

Simplify $(7 \sqrt{a} - 5 \sqrt{b}) (7 \sqrt{a} + 5 \sqrt{b})$ using multiplication and division properties of surds.

MEDIUM

9th Tamil Nadu Board

IMPORTANT

Mathematics Standard 9>Chapter 2 - Real Numbers>Exercise>Q 3

If $\sqrt{2} = 1.414, \sqrt{3} = 1.732, \sqrt{5} = 2.236, \sqrt{10} = 3.162$ , then find the value of $\sqrt{300} + \sqrt{90} - \sqrt{8}$ correct to $3$ places of decimals.