Question

it is urgent please do the ticked ones only

Answer 1

Answer:

ANSWER 6) OPTION 3 IS CORRECT

$\sqrt{2} - 1$

Step-by-step explanation:

QUESTION 6)

$x = log_{0.1}(0.001) \\ x = log_{ {10}^{ - 1} }( {10}^{ - 3} ) \\ x = \frac{ - 3}{ - 1} log_{10}(10) \\ x= 3 \\ \\ \\ y = log_{9}(81) = log_{9}( {9}^{2} ) \\ \\ y = 2 \\ \\ \sqrt{x - 2 \sqrt{y} } = \sqrt{3 - 2 \sqrt{2} } \\ = \\ \sqrt{ {( \sqrt{2}) }^{2} + {1}^{2} - 2 \sqrt{2} } \\ \\ = \sqrt{ {( \sqrt{2} - 1) }^{2} } \\ \\ = \sqrt{2} - 1$