Question

√3-2√2 whole root simplify
class 9 ch 1 number system ​

Answer 1

Answer:

We seek a square root of 3−2√2. This must have the form a+b√2.

(a+b√2)2=a2+2ab√2+2b2

So

a2+2b2=3

and

2ab=−2⇒ab=−1

These are two simultaneous equations for a and b.

Rearrange the second:

b=−1a

Substitute into the first:

a2+2a2=3

a4+2=3a2

a4−3a2+2=0

Note that this is a quadratic in a2:

(a2)2−3(a2)+2=0

Factorise:

(a2−2)(a2−1)=0

This gives us two possible solutions for a2: 2 and 1, and so the four solutions for a: ±

Step-by-step explanation:

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Answer 2

Answer:

$\sqrt{1 \sqrt{2 = 2} }$