Question

( √2-1) ÷ ( √2+1) is ​

Answer 1

Step-by-step explanation:

Let us rationalize the denominator of the given expression as shown below:

Let us rationalize the denominator of the given expression as shown below:3

Let us rationalize the denominator of the given expression as shown below:3 2

Let us rationalize the denominator of the given expression as shown below:3 2

Let us rationalize the denominator of the given expression as shown below:3 2 −1

Let us rationalize the denominator of the given expression as shown below:3 2 −117

Let us rationalize the denominator of the given expression as shown below:3 2 −117

Let us rationalize the denominator of the given expression as shown below:3 2 −117 ×

Let us rationalize the denominator of the given expression as shown below:3 2 −117 × 3

Let us rationalize the denominator of the given expression as shown below:3 2 −117 × 3 2

Let us rationalize the denominator of the given expression as shown below:3 2 −117 × 3 2

Let us rationalize the denominator of the given expression as shown below:3 2 −117 × 3 2 +1

Let us rationalize the denominator of the given expression as shown below:3 2 −117 × 3 2 +13

Let us rationalize the denominator of the given expression as shown below:3 2 −117 × 3 2 +13 2

Let us rationalize the denominator of the given expression as shown below:3 2 −117 × 3 2 +13 2

Let us rationalize the denominator of the given expression as shown below:3 2 −117 × 3 2 +13 2 +1

= (3 2) 2 −1 217(3 2+1)

17(3 2+1) ((a−b)(a+b)=a2 −b 2 )= (9×2)−1

2 )= (9×2)−117(3 2 +1)

2 )= (9×2)−117(3 2 +1)= 18−117(3 2+1)= 1717(3 2 +1)=3 2 +1

+1Hence,

+1Hence, 3 2−117 =32 +1