Write the simplest form of rationalising factor for the given surd. 3/5 sqrt 10 - Algebra

Write the simplest form of rationalising factor for the given surd.

$\frac{3}{5} \sqrt{10}$

Sum

∴ $\frac{3}{5} \sqrt{10} \times \sqrt{10} = \frac{3}{5} \times 10 = 6$ is a rational number.

So, $\sqrt{10}$ is the simplest form of rationalising factor.

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Rationalisation of Surds

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Chapter 2: Real Numbers - Problem Set 2 [Page 35]

Chapter 2 Real Numbers
Problem Set 2 | Q (6) (iv) | Page 35

Write the simplest form of rationalising factor for the given surd.

$\sqrt{27}$

Write the lowest rationalising factor of : √24

Write the lowest rationalising factor of : 3√2 + 2√3

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$\frac{3}{\sqrt{3} - \sqrt{2}} = a \sqrt{3} - b \sqrt{2}$

Find the values of 'a' and 'b' in each of the following:
$\frac{5 + 3 \sqrt{2}}{5 - 3 \sqrt{2}} = a + b \sqrt{2}$

If m = $\frac{1}{3 - 2 \sqrt{2}} and n = \frac{1}{3 + 2 \sqrt{2}},$ find m²

If x = 2√3 + 2√2 , find : $(x + \frac{1}{x})$

If x = 5 - 2√6, find $x^{2} + \frac{1}{x^{2}}$

Evaluate : $\frac{4 - \sqrt 5}{4 + \sqrt 5} + \frac{4 + \sqrt 5}{4 - \sqrt 5}$

Rationalise the denominator $\frac{5}{3 \sqrt{5}}$