Sections
Surds and indices(level - 1)
Q1–10 of 70
1
Evaluate: $\sqrt{248 + \sqrt{52 + \sqrt{144}}}$
Correct Answer:
16
Explanation:
No explanation available.
2
What will come in place of the question mark?
$\sqrt{86.49} + \sqrt{5 + (?)^2} = 12.3$
Correct Answer:
2
Explanation:
No explanation available.
3
Find the value of $\sqrt{\frac{0.289}{0.00121}}$
Correct Answer:
170/11
Explanation:
No explanation available.
4
Simplify: $\frac{1}{\sqrt{100}-\sqrt{99}} - \frac{1}{\sqrt{99}-\sqrt{98}} + \frac{1}{\sqrt{98}-\sqrt{97}} - \dots + \frac{1}{\sqrt{2}-\sqrt{1}}$
Correct Answer:
11
Explanation:
No explanation available.
5
Find the sum: $3 + \frac{1}{\sqrt{3}} + \frac{1}{3+\sqrt{3}} - \frac{1}{3-\sqrt{3}}$
Correct Answer:
D. 3
Explanation:
No explanation available.
6
If $x = \frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}$ and $y = \frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}$, find $(x^2+y^2)$
Correct Answer:
B. 62
Explanation:
No explanation available.
7
Find the value of $\sqrt{6+\sqrt{6+\sqrt{6+\dots}}}$
Correct Answer:
Since the radical expression is positive, we reject x = -2. Thus, x = 3.
Explanation:
No explanation available.
8
By what least number must $4320$ be multiplied to obtain a perfect cube?
Correct Answer:
50
Explanation:
No explanation available.
9
$\sqrt{53824} = ?$
Correct Answer:
B. 232
Explanation:
No explanation available.
10
The square root of 41209 is equal to
Correct Answer:
B. 203
Explanation:
No explanation available.