Aptitude - Square Root and Cube Root - Discussion

Discussion Forum : Square Root and Cube Root - General Questions (Q.No. 9)
9.

The square root of (7 + 35) (7 - 35) is

5
2
4

35

Answer: Option
Explanation:
(7 + 35)(7 - 35) = (7)2 - (35)2  = 49 - 45  = 4  = 2.
Discussion:
24 comments Page 1 of 3.

Ranjith Ragava said:   3 years ago
(7+3√5)(7-3√5).
(a+b)(a-b)=a^2-b^2,
= (7)^2-(3√5)^2,
= (49)-(3^2√5^2),
= 49-(9)(5),
= 49-45,
= 4.
(3)

Devendra said:   2 years ago
To find the square root of the expression (7 + 3√5) (7 - 3√5), we can simplify it using the difference of squares formula.

Let's denote the expression as A = (7 + 3√5) (7 - 3√5).

Using the difference of squares formula, we have:

A = (7 + 3√5) (7 - 3√5)
= (7)^2 - (3√5)^2,
= 49 - 9(√5)^2,
= 49 - 9(5),
= 49 - 45,
= 4.

Therefore, the √ of (7 + 3√5) (7 - 3√5) is √4 = 2.
(2)

Sree said:   4 years ago
How 45 came?
(2)

Shahil Solanki said:   3 years ago
@Sweety and @Sree

(3√5)^2.
= 3^2 *(√5)^2,
= 9 * 5,
= 45.
(1)

Shilpa sudhan said:   9 years ago
@Joe.

(3R5)^2 = 3 to the power 2 and root 5 to the power 2 root 5 to the power 2 can be written as root 5 into root 5 which is equal to 5 now we get 3^2 * 5 = 45.
(1)

Swathi said:   9 years ago
Please solve this question in the easy way of method.

Sweety said:   6 years ago
How come 45?

Sonam said:   6 years ago
Sir, how come 45? please tell me.

Priya said:   7 years ago
@All.

It is mentioned that the square root of (find the square root of a given item), by solving we will get 4. Take the square root of 4 the answer is 2.

Sreekanth said:   8 years ago
Here square root is already there.
So, a+b * a-b = a2-b2. so, square root a2-b2. So answer is 2 only.


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