Question

$\frac{6 {}^{2 \div 3} \times \sqrt[3]{6 {}^{7} } }{ \sqrt[3]{6 {}^{6} } }$
simplify ?​

Answer 1

By the using the appropriate properties of radicals and algebraic manipulations, we can simplify the given expression as follows:

√6/[2√3] = √(2*3)/[2√3]

= [√2√3]/[2√3]

= [√2/2][√3/√3]

= [√2/2][1]

= √2/2 is the more appropriate answer, as there are no radicals in the denominator. To convert this result to 1/√2, we can proceed as follows:

= [√2/2][1]

= [√2/2][√2/√2]

= [√2√2]/[(2)√2]

= [√4]/[(2)√2]

= 2/[(2)√2]

= (2/2)[1/√2]

= (1)[1/√2]