Question

help me in question of maths....Q no.8,9,10,11,12...

Answer 1

8 no. done
9. no. done
10.no.done
11.no. done
12.no.done I.e
rationalize the no.s
$(\sqrt{32} + \sqrt{48} ) \div (\sqrt{8} + \sqrt{12}) \times (\sqrt{8 } - \sqrt{12} )\div (\sqrt{8} - \sqrt{12}) \\ = ((\sqrt{32} + \sqrt{48} ) \times ( \sqrt{8 } - \sqrt{12} ) )\div - 4 \\ = ( \sqrt{32} \times \sqrt{8} - \sqrt{32} \times \sqrt{12} + \sqrt{48} \times \sqrt{8} - \sqrt{48} \times \sqrt{12} )\div - 4 \\ = (\sqrt{256} - \sqrt{384} + \sqrt{384} - \sqrt{576} ) \div - 4 \\ = (16 - 24) \div - 4 \\ = - 8 \div - 4 \\ = 2$
the √256 =16 and √576=24