Rationalize the denominata 12
B-2
Answers
Answer:
Rd Sharma 2019 Solutions for Class 9 Math Chapter 3 Rationalisation are provided here with simple step-by-step explanations. These solutions for Rationalisation are extremely popular among Class 9 students for Math Rationalisation Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rd Sharma 2019 Book of Class 9 Math Chapter 3 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rd Sharma 2019 Solutions. All Rd Sharma 2019 Solutions for class Class 9 Math are prepared by experts and are 100% accurate.
Page No 3.14:
Question 1:
Rationalise the denominator of each of the following (i-vii):
(i) 35√
(ii) 325√
(iii) 112√
(iv) 2√5√
(v) 3√+12√
(vi) 2√+5√3
(vii) 32√5√
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.
Page No 3.14:
Question 2:
Find the value to three places of decimals of each of the following. It is given that
2–√=1.414, 3–√=1.732, 5–√=2.236 and 10−−√=3.162.
(i) 23√
(ii) 310√
(iii) 5√+12√
(iv) 10√+15√2√
(v) 2+3√3
(vi) 2√−15√
ANSWER:
(i) We know that rationalization factor of the denominator is. We will multiply numerator and denominator of the given expression by, to get
The value of expression can be round off to three decimal places as.
Hence the given expression is simplified to.
(ii) We know that rationalization factor of the denominator is . We will multiply numerator and denominator of the given expression by , to get
The value of expression can be round off to three decimal places as.
Hence the given expression is simplified to.
(iii) We know that rationalization factor of the denominator is. We will multiply numerator and denominator of the given expression by, to get
The value of expression can be round off to three decimal places as.
Hence the given expression is simplified to.
(iv) We know that rationalization factor of the denominator is. We will multiply numerator and denominator of the given expression by, to get
The value of expression can be round off to three decimal places as.
Hence the given expression is simplified to.
(v) Given that
Putting the value of, we get
The value of expression can be round off to three decimal places as.
Hence the given expression is simplified to.
(vi) We know that rationalization factor of the denominator is. We will multiply numerator and denominator of the given expression by, to get
Putting the value of and, we get
The value of expression can be round off to three decimal places as.
Hence the given expression is simplified to.
Page No 3.14:
Question 3:
Express each one of the following with rational denominator:
(i) 13+2√
(ii) 16√−5√
(iii) 1641√−5
(iv) 3053√−35√
(v) 125√−3√
(vi) 3√+122√−3√
(vii) 6−42√6+42√
(viii) 32√+125√−3
(ix) b2a2+b2√+a
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 with rational denominator to.
(ii) 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 with rational denominator 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 with rational denominator 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 with rational denominator 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 with rational denominator to.
Step-by-step explanation: