If 7 - sqrt7 is m- sqrt7- then m is

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Toppr Admin · Accepted Answer

The least rationalizing factor will be of the form a-x221A-7-b-7-x2212-x221A-7-xD7-a-x221A-7-b-x2212-a-xD7-7-7-xD7-b-x2212-b-x221A-7-7a-x221A-7To be rational- b-x221A-7-7a-x221A-7b-7ai-e- a-1-b-7-x221A-7-7 is the least rationalizing factor-

If $7 - \sqrt{7}$ is $m + \sqrt{7}$ , then $m$ is

The least rationalizing factor will be of the form $a \sqrt{7} + b$
$(7 - \sqrt{7}) \times (a \sqrt{7} + b) = - a \times 7 + 7 \times b - b \sqrt{7} + 7 a \sqrt{7}$
To be rational, $b \sqrt{7} = 7 a \sqrt{7}$
$b = 7 a$
i.e, $a = 1, b = 7$
$\sqrt{7} + 7$ is the least rationalizing factor.

If 7−√7 is m+√7, then m is

The least rationalizing factor will be of the form a√7+b(7−√7)×(a√7+b)=−a×7+7×b−b√7+7a√7To be rational, b√7=7a√7b=7ai.e, a=1,b=7√7+7 is the least rationalizing factor.

If $7 - \sqrt{7}$ is $m + \sqrt{7}$ , then $m$ is

The least rationalizing factor will be of the form $a \sqrt{7} + b$
$(7 - \sqrt{7}) \times (a \sqrt{7} + b) = - a \times 7 + 7 \times b - b \sqrt{7} + 7 a \sqrt{7}$
To be rational, $b \sqrt{7} = 7 a \sqrt{7}$
$b = 7 a$
i.e, $a = 1, b = 7$
$\sqrt{7} + 7$ is the least rationalizing factor.