1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Multiplication of Numbers with Square Roots
If x=9+4 √5 t...
Question
If x= 9+4√5 then find the value of √x-1/√x
Open in App
Solution
Given x = 9 + 4√5, find √x - 1 / √x
√x = √(9 + 4√5)
√x = √(√5 + √4 + 2√(5x4))
√x = √(√5 + √4)2
√x = √5 + 2
1 / √x = 1 / (√5 + 2) rationalize we get
1 / √x = (√5 - 2)
∴ √x - 1 / √x = √5 + 2 - √5 + 2 = 4.
Suggest Corrections
323
Similar questions
Q.
If
x
=
9
−
4
√
5
then , find the value of
√
x
+
1
√
x
Q.
If
x
=
9
−
4
√
5
then find the value of
√
x
+
1
√
x
.
Q.
If
x
=
9
−
4
√
5
then, find the value of
x
4
+
1
x
4
Q.
If
x
=
9
−
4
√
5
,
then find the value of
x
−
1
x
Q.
If
x
=
9
−
4
√
5
then , find the value of
x
3
−
1
x
3
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Multiplication of Numbers with Square Roots
MATHEMATICS
Watch in App
Explore more
Multiplication of Numbers with Square Roots
Standard IX Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app