Question

rationalize the denominator 5/3+√2​

Answer 1

Answer:

(15-5√2) / 7

Step-by-step explanation:

5/(3+√2) = 5(3-√2) / (3+√2)(3-√2)

=(15 - 5√2)/ (3 square - √2 square)

= (15-5√2)/ ( 9 - 2) =( 15 -5√2)/7

Answer 2

Answer:

hello have a nice day

Step-by-step explanation:

Question 1:

Rationalise the denominator of each of the following (i-vii):

(i) 35√35

(ii) 325√325  

(iii) 112√112

(iv) 2√5√25

(v) 3√+12√3+12

(vi) 2√+5√32+53

(vii) 32√5√325

ANSWER:

(i) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get



Hence the given expression is simplified to.

(ii) We know that rationalization factor foris. We will multiply numerator and denominator of the given expression  by, to get



Hence the given expression is simplified to.

(iii) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression  by, to get



Hence the given expression is simplified to.

(iv) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression  by, to get



Hence the given expression is simplified to.

(v) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression  by, to get



Hence the given expression is simplified to.

(vi) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression  by, to get



Hence the given expression is simplified to.

(vii) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression  by, to get



 

Hence the given expression is simplified to.