7√11 is an ___ number.
WBBSE
Class X
Mathematics
Quadratic Surds
01 Mark
2022
irrational number
Explanation:
√11 is irrational, and multiplying by 7 (a rational non-zero integer) keeps it irrational.
Related Questions
More WBBSE Easy level questions
1/12
Q.
Which one of √8, √18, √27, √72 is not a similar surd?
A.
√8 = 2√2 √18 = 3√2 √27 = 3√3 √72 = 6√2...
Q.
Find the simplest value of: \dfrac{\sqrt{5}}{\sqrt{3}+\sqrt{2}}
A.
= × = = = √5(√3 - √2) = √15 - √10
Q.
Rationalize the surds of the denominator: 12/(√15 – 3)
A.
= = = = 2√15 + 6
Q.
If the sum of the square of the roots of the equation 6x² + x...
A.
False Explanation: The sum of the squares of the roots of a...
Q.
If mean proportional of (a2bc) and (4bc) is x, then the value of x is...
A.
± 2abc Explanation = or, x² = 4a²b²c² or, x = √4a²b²c²...
Q.
If a = \frac{√5 + 1}{\text{√5 - 1}} and ab = 1 calculate (\frac{\text{a}}{\text{b}} +...
A.
Given: a = ⇒ a = × ⇒ a = ⇒ a...
Q.
If m + 1\over m = √3, then find the value of (a) m² +...
A.
Given: m + = √3 (a) m² + = (m + )²...
Q.
If x(4 – √3) = y(4 + √3) = 1, then the value of x²...
A.
4 Explanation: x = 1 and y = 1 Solving for x...
Q.
Which one is greater √7 – √2 or √8 – √3?
A.
x = √7 - √2 = = y = √8 - √3...
Q.
If x = 4√15 \over √5 + √3, then find the value of x +...
A.
x = ⇒ x = ⇒ x = ⇒ = ⇒ =...
Q.
If x = √3 + √2 and y = 1/x then find (x + 1/x)²...
A.
x = √3 + √2 ⇒ = = × = = √3...
Q.
If x + √(x² – 9) = 9 then find the value of x –...
A.
x + √(x² - 9) = 9 or, 9 - x =...