Math, asked by sakshiraval, 1 year ago

write rationalising factor of root 8

Answers

Answered by mysticd
74
Solution :

√8 = √(2×2)×2 = 2√2

Therefore ,

Rationalising factor of √8 = √2

Verification :

√8 × √2

= 2√2 × √2

= 4 ( Rational Number )

••••

Answered by parmesanchilliwack
57

Answer: √2 is the rationalising factor of root 8.

Step-by-step explanation:

Since, we can write,

\sqrt{8}=\sqrt{2\times 2\times 2}

\sqrt{8}=\sqrt{2\times 4}

\sqrt{8}=2\times \sqrt{2}

Thus, 2 and √2 are the factors of √8,

Since, 2 is a rational number while √2 is the irrational number,

We can make √2 a rational number by multiplying √2.

⇒ √2 is the rationalizing factor of √8.

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