Question

The smallest number by which $\sqrt{27}$ should be multiplied so as to get a rational number is
(a) $\sqrt{27}$
(b) $3\sqrt{3}$
(c) $\sqrt{3}$
(d) 3

Answer 1

Answer:

The smallest number by which √27 should be multiplied so as to get a rational number is √3 .

Among the given options option (c) √3 is the correct answer .

Step-by-step explanation:

Given :  

√27  

√27 = √(9 × 3)

√27 = 3√3  

√27 = 3√3 × (√3)  

√27 = 3 × 3 = 9  

9 is a rational number.

So, √3 is a smallest number

Hence, the smallest number by which √27 should be multiplied so as to get a rational number is √3 .

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

The smallest number by which $\sqrt{27}$ should be multiplied so as to get a rational number is

(a) $\sqrt{27}$

(b) $3\sqrt{3}$

(c) $\sqrt{3}$

(d) 3

(c) $\sqrt{3}$

$\sqrt{27} \times \sqrt{3} \\ \\ = 9$

$\sqrt{27} \times \sqrt{27} \\ \\ = 27 \\ \\ \sqrt{27} \times 3 \sqrt{3} \\ \\ = 27$

hope it helps.