Question

Maths question plz solve this and help​

Answer 1

—› Answer:

i) Simplify :-

$\rightarrow \rm \: {{ \huge{[ }} {{ \huge{(}} \sqrt{ \frac{2}{3} } }{ \huge{)}}^{2} - \sqrt[3]{ \frac{8}{27} } { \huge{]}}}^{1000}$

The root and the square of 2/3 gets cancelled.

$\rightarrow \rm \: {{ \huge{[ }} \frac{2}{3} - \sqrt[3]{ \frac{ {2}^{3} }{ {3}^{3} } } }{{ \huge{ { ]}}}}^{1000}$

$\rightarrow \rm \: {{ \huge{[ }} \frac{2}{3} - \frac{2}{3} {{ \huge{]}}^{1000}}}$

$\rightarrow \rm \: {{ \huge{[ }} \: 0 \: {{ \huge{]}}^{1000}}}$

$\rightarrow \rm \: 0 \: \: (ans)$

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ii) The exponential form of :

$\sqrt{ \sqrt{2} \times \sqrt{5} } = \sqrt{ \sqrt{10} }$

Now both the roots gets cancelled,

$\rightarrow \rm \: 10 \: \: (ans)$