Question

rationalize Root 10+root 15/root 2​

Answer 1

Answer:

(√10 - √5)/2√2 = 0.327

Step-by-step explanation:

Find the value of root10 -root 15/ 2root 2 upto three decimal places (take root2= 1.414 and root5= 2.236

√5 considered instead of √15 as √3 value not given in question

(√10 - √5)/2√2

= √5 (√2 - 1) /2√2

= 2.236 ( 1.414 - 1) /(2 * 1.414)

= 2.236 * 0.414 / 2.828

= 0.925704 /2.828

= 0.327

Answer 2

Concept

Rationalization is a process that finds application in elementary algebra, where it is used to remove an irrational number in the denominator. There are many rationalization techniques that are used to rationalize the denominator. The word rationalize literally means to make something more efficient. Its adoption in mathematics means converting the equation into its more efficient and simpler form.

Given

(√10+√15)/√2 is given

Find

We need to rationalize (√10+√15)/√2

Solution

(√10+√15)/√2 = (√10+√15)/√2 * √2/√2

=(√20+√30)/2

= (2√5 + √30) /2

Hence by rationalising (√10+√15)/√2 we get (2√5 + √30) /2

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