Question

simplyfy . please step wise I need this​

Answer 1

Answer:

$(6 + \sqrt{6} ) \times \sqrt{48} \times (6 - \sqrt{6} ) \div \sqrt{675} \times ( \sqrt{5} - \sqrt{2} )( \sqrt{5} + \sqrt{2} ) \\ = \frac{(36 - 6) \times 4 \sqrt{3} }{ \sqrt{675} \times (5 - 2)} \\ = \frac{30 \times 4 \sqrt{3} }{15 \sqrt{3} \times 3 } \\ = 2.6666 \: \: ans$

Here is your solution. Thanks ❤️

Answer 2

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Question}}}}}}}}$

$\sf\dfrac{(6 + \sqrt{6} ) \times \sqrt{48} \times (6 - \sqrt{6} ) }{ \sqrt{675} \times ( \sqrt{5} - \sqrt{2} )( \sqrt{5} + \sqrt{2} ) }$

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Solution}}}}}}}}$

$\sf\longrightarrow\dfrac{(6 + \sqrt{6} ) \times \sqrt{48} \times (6 - \sqrt{6} ) }{ \sqrt{675} \times ( \sqrt{5} - \sqrt{2} )( \sqrt{5} + \sqrt{2} ) }$

${\bold{\blue{\boxed{\bf{(x+y)(x-y) = x^2 - y^2 }}}}}$

$\sf\longrightarrow \dfrac{(6^2- \sqrt 6^2) \times 4 \sqrt{3} }{ \sqrt{675} \times (\sqrt 5^2 - \sqrt 2^2)}$

$\sf\longrightarrow \dfrac{(36 - 6) \times 4 \sqrt{3} }{ \sqrt{675} \times (5 - 2)}$

$\sf\longrightarrow \dfrac{30 \times 4 \sqrt{3} }{15 \sqrt{3} \times 3 }$

$\sf\longrightarrow \dfrac{\cancel 30 \times 4\cancel{ \sqrt{3}} }{\cancel 15\cancel{ \sqrt{3}} \times 3 }$

$\sf\longrightarrow \dfrac{2 \times 4 }{ 3 }$

$\sf\longrightarrow \dfrac{8}{ 3 }$

$\sf\longrightarrow 2.666$

• round off

${\bold{\blue{\boxed{\bf{\dag Answer = 2.67 }}}}}$

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