Question

7 root 2 by root 3 + root 2 minus 2 root 5 by root 6 + root 5
please only write the answer no suggestions please if know the answer then write the full answer​

Answer 1

Answer:

none of these is correct answer

Answer 2

The given question is we have to find the value of

$\frac{7 \sqrt[2]{2} }{3 + \sqrt{2} } - \frac{2 \sqrt{5} }{ \sqrt{6} + \sqrt{5} }$

The value of

$\sqrt{2} = 1.414 \\ the \: value \: of \: \sqrt{5} = 2.236 \\ the \: value \: of \: \sqrt{6} = 2.4$

we can directly substitute those values in the expression to solve or by taking LCM and subtracting the two fractions.

The LCM method leaves the answer as 3, which is not there in the option.

we can directly substitute the root values in the expression. then we get the answers as

$\frac{7(1.414)}{3 + 1.414} - \frac{2(2.236)}{(2.4 + 2.23)}$

On further proceedings, we get the answers as 1.28

The value is round-off to the number 1 or 2.

Method 2 answers 3 which is not there

on the option

method 2:

$\frac{7 \sqrt{2}( \sqrt{6} + \sqrt{5} ) - 2 \sqrt{5}(3 + \sqrt{2} ) }{(3 + \sqrt{2} )( \sqrt{6} + \sqrt{5} )}$

$\frac{10(7 \sqrt{12} + 7 - 6 \sqrt{5} + 2)}{3 \sqrt{6} + \sqrt{12} + \sqrt{10} + 3 \sqrt{5} } \\ \frac{3.16(23.8 + 7 - 13.38 + 2)}{7.2 + 3.4 + 3.1 + 6.69)} \\ \frac{61.3672}{20.39} = 3.0096$

Therefore, the final answer is 3.

which is not there therefore, the answer based on the option is considered as none of these.

The correct option to the given question is D which is none of these

# spj2

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