Question

The mean proportional between (3+√2) and (12-√32) is

Answer 1

Answer:

2√7

Step-by-step explanation:

Given The mean proportional between (3+√2) and (12-√32) is

Now we know that mean proportion is given by √a x b

So (3 + √2)(12 - √32)

We can write this as

√(3 + √2)(12 - 4√2) (because √32 = √√8 x 4 = 4√2

Multiplying this we get

√36 + 12√2 - 12√2 - 8

So we get √36 - 8

= √28

= √4 x 7

= 2√7

The mean proportional between (3+√2) and (12-√32) is 2√7

Answer 2

Answer:

2√7

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