Question

If √5 = 2.236

Find √45 + √605 - √245

Answer 1

Step-by-step explanation:

Correct option is

A

15.652

45

+

605

−

245

⇒

9×5

+

121×5

−

49×5

⇒3

5

+11

5

−7

5

Given

5

=2.236

⇒3×2.236+11×2.236−7×2.236

⇒6.708+24.596−15.652

⇒31.304−15.652

⇒15.652

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Answer 2

Answer:

15.652

Step-by-step explanation:

Hint: Write√ 45=√9×5,√605=√121×5,√245=√49×5 in the expression given √45+√605−√245 and then find the answer.

According to the question it is given that-

√5=2.236.

The expression is- √45+√605−√245→(1)

Putting √45=√9×5, √605=√121×5, √245= √49×5 in equation (1)-

√45+ √605 − √245 = √9×5 + √121×5 − √49×5= √35 + √115 − √75

Now, put √5=2.236 in the above equation, we get-

⇒3×2.236 + 11×2.236 −7×2.236

=6.708+24.596−15.652

=31.304−15.652

=15.652

Hence, the correct answer is 15.652.

Note: Whenever such types of questions appear then write down the expression given in the question whose value is to be found out. Since, it is given that √5=2.236, so try to express each term in the form of √5 to simplify it and then solve to get the answer.