Question

01 (a) Rationalise the denominator. 1/ (2+ V3)​

Answer 1

Answer :

= 2 - √3

Step-by-step explanation :

$\underline{\underline{\bf Rationalizing \ factor:}}$

• The factor of multiplication by which rationalization is done, is called as rationalizing factor.

• If the product of two surds is a rational number, then each surd is a rationalizing factor to other.

• For example, rationalizing factor of (3 + √2) is (3 - √2)

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$\bf =\frac{1}{2+\sqrt{3}}$

Rationalizing factor = 2 - √3

$\bf =\frac{1}{2+\sqrt{3}} \times \frac{2-\sqrt{3}}{2-\sqrt{3}} \\\\\\ =\frac{2-\sqrt{3}}{(2+\sqrt{3})(2-\sqrt{3})} \\\\\\ =\frac{2-\sqrt{3}}{2(2-\sqrt{3})+\sqrt{3}(2-\sqrt{3})} \\\\\\ =\frac{2-\sqrt{3}}{4-2\sqrt{3}+2\sqrt{3}-\sqrt{3}^2} \\\\\\ =\frac{2-\sqrt{3}}{4-3} \\\\\\ =\frac{2-\sqrt{3}}{1} \\\\\\ =2-\sqrt{3}$

Answer 2

Step-by-step explanation:

Refet the attachment.......