Write the lowest rationalising factor of -15- - 3- sqrt2 is m - - sqrt2m is

Question

Toppr Admin · Accepted Answer

The least rationalizing-factor will be of the form a-x221A-2-b15-x2212-3-x221A-2-x2217-a-x221A-2-b-x2212-a-x2217-3-x2217-2-15-x2217-b-x2212-3b-x221A-2-15a-x221A-2-To be rational- 15a-x221A-2-3b-x221A-215a-3b -i-e- a-1-b-5-x221A-2-5 is the least rationalizing factor -xA0-

Write the lowest rationalising factor of :
$15 - 3 \sqrt{2}$ is $m + \sqrt{2}$
$m$ is

The least rationalizing factor will be of the form $a \sqrt{2} + b 15 - 3 \sqrt{2} * (a \sqrt{2} + b) = - a * 3 * 2 + 15 * b - 3 b \sqrt{2} + 15 a \sqrt{2}$
To be rational, $15 a \sqrt{2} = 3 b \sqrt{2} 15 a = 3 b$
i.e, $a = 1, b = 5, \sqrt{2} + 5$ is the least rationalizing factor

Write the lowest rationalising factor of :15−3√2 is m+√2m is

The least rationalizing factor will be of the form a√2+b15−3√2∗(a√2+b)=−a∗3∗2+15∗b−3b√2+15a√2 To be rational, 15a√2=3b√215a=3b i.e, a=1,b=5,√2+5 is the least rationalizing factor

Write the lowest rationalising factor of :
$15 - 3 \sqrt{2}$ is $m + \sqrt{2}$
$m$ is

The least rationalizing factor will be of the form $a \sqrt{2} + b 15 - 3 \sqrt{2} * (a \sqrt{2} + b) = - a * 3 * 2 + 15 * b - 3 b \sqrt{2} + 15 a \sqrt{2}$
To be rational, $15 a \sqrt{2} = 3 b \sqrt{2} 15 a = 3 b$
i.e, $a = 1, b = 5, \sqrt{2} + 5$ is the least rationalizing factor