Question

write the following surd in simplest form. √405​

Answer 1

Answer:

The square root of 405 rounded up to 7 decimal places is 20.1246118. It is the positive solution of the equation x2 = 405. We can express the square root of 405 in its lowest radical form as 9 √5.

Step-by-step explanation:

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Answer 2

$\underline{ \underline{ \bf Question}}$

Write the following surd in simplest form. √405

$\large \sf Answer$

$= \bf 9 \sqrt{5}$

$\huge \tt Solution$

If we have to find the simplest form of ✓405 in terms of surd , foremost thing is to take out prime factorisation method .

$\begin{array}{c|c}5&405\\ \hline 9&81 \\ \hline9&9 \\ \hline&1 \end{array}$

Therefore,

$\sqrt{405} = \sqrt{5 \times 9 \times 9} = 9 \sqrt{5}$

Here we got its simplest surd form .

Remember

$\odot \: \sqrt{a} \times \sqrt{a} = a$

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