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Home ‣ Aptitude ‣ Square Root and Cube Root Comments
- Question
The square root of (7 + 3√5) (7 - 3√5) is
Options- A. √5
- B. 2
- C. 4
- D. 3√5
- Correct Answer
- 2
Explanation(7 + 3√5)(7 - 3√5) = (7)2 - (3√5)2 = √49 - 45 = √4 = 2. - 1. The square root of 64009 is:
Options- A. 253
- B. 347
- C. 363
- D. 803 Discuss
- 2. √0.0169 x? = 1.3
Options- A. 10
- B. 100
- C. 1000
- D. None of these Discuss
- 3.
❨ √625 x 14 x 11 ❩ is equal to: 11 √25 √196
Options- A. 5
- B. 6
- C. 8
- D. 11 Discuss
- 4.
If √5 = 2.236, then the value of √5 - 10 + √125 is equal to: 2 √5
Options- A. 5.59
- B. 7.826
- C. 8.944
- D. 10.062 Discuss
- 5. How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8?
Options- A. 1
- B. 2
- C. 3
- D. None of these Discuss
- 6.
❨ √3 - 1 ❩ 2 simplifies to: √3
Options- A.
3 4 - B.
4 √3 - C.
4 3 - D. None of these Discuss
- 7. The least perfect square, which is divisible by each of 21, 36 and 66 is:
Options- A. 213444
- B. 214344
- C. 214434
- D. 231444 Discuss
- 8.
What should come in place of both x in the equation x = √162 . √128 x
Options- A. 12
- B. 14
- C. 144
- D. 196 Discuss
- 9. If 3√5 + √125 = 17.88, then what will be the value of √80 + 6√5?
Options- A. 13.41
- B. 20.46
- C. 21.66
- D. 22.35 Discuss
- 10. If a = 0.1039, then the value of √4a2 - 4a + 1 + 3a is:
Options- A. 0.1039
- B. 0.2078
- C. 1.1039
- D. 2.1039 Discuss
Square Root and Cube Root problems
Search Results
Correct Answer: 253
Explanation:
2|64009( 253
|4
|----------
45|240
|225
|----------
503| 1509
| 1509
|----------
| X
|----------
∴ √64009 = 253.
Correct Answer: 100
Explanation:
Let √0.0169 x x = 1.3.
Then, 0.0169x = (1.3)2 = 1.69
| ⟹ x = | 1.69 | = 100 |
| 0.0169 |
Correct Answer: 5
Explanation:
| Given Expression = | 25 | x | 14 | x | 11 | = 5. |
| 11 | 5 | 14 |
Correct Answer: 7.826
Explanation:
| √5 | - | 10 | + √125 | = | (√5)2 - 20 + 2√5 x 5√5 |
| 2 | √5 | 2√5 |
| = | 5 - 20 + 50 |
| 2√5 |
| = | 35 | x | √5 |
| 2√5 | √5 |
| = | 35√5 |
| 10 |
| = | 7 x 2.236 |
| 2 |
| = 7 x 1.118 |
| = 7.826 |
Correct Answer: None of these
Explanation:
A number ending in 8 can never be a perfect square.
Correct Answer:
| 4 |
| 3 |
Explanation:
| ❨ | √3 - | 1 | ❩ | 2 | = (√3)2 + | ❨ | 1 | ❩ | 2 | - 2 x √3 x | 1 |
| √3 | √3 | √3 |
| = 3 + | 1 | - 2 |
| 3 |
| = 1 + | 1 |
| 3 |
| = | 4 |
| 3 |
Correct Answer: 213444
Explanation:
L.C.M. of 21, 36, 66 = 2772.
Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11
To make it a perfect square, it must be multiplied by 7 x 11.
So, required number = 22 x 32 x 72 x 112 = 213444
Correct Answer: 12
Explanation:
| Let | x | = | √162 |
| √128 | x |
Then x2 = √128 x 162
= √64 x 2 x 18 x 9
= √82 x 62 x 32
= 8 x 6 x 3
= 144.
∴ x = √144 = 12.
Correct Answer: 22.35
Explanation:
3√5 + √125 = 17.88
⟹ 3√5 + √25 x 5 = 17.88
⟹ 3√5 + 5√5 = 17.88
⟹ 8√5 = 17.88
⟹ √5 = 2.235
∴ √80 + 6√5 = √16 x 5 + 6√5
= 4√5 + 6√5
= 10√5 = (10 x 2.235) = 22.35
Correct Answer: 1.1039
Explanation:
√4a2 - 4a + 1 + 3a = √(1)2 + (2a)2 - 2 x 1 x 2a + 3a
= √(1 - 2a)2 + 3a
= (1 - 2a) + 3a
= (1 + a)
= (1 + 0.1039)
= 1.1039
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