Question

if 1 + root2 is a root of a quadratic equation with rational coefficients, write its other root.​

Answer 1

Answer:

step by step explanation:

One root of the equation is : 1+2–√, then another root will be 1−2–√.

Sum of the roots=2

Product of the roots=(1+2–√)(1−2–√)=1−2=−1

Hence the equation is x2−2x−1=0.

Use the quadratic formula, to find the roots if you need some verification.

Note: If a root of quadratic equation is x+y√ then another will be x−y√.