Question

the positive square root of 13 - root 120 is​

Answer 1

Answer:

sinhx=

2

e

x

−e

−x

coshx=

2

e

x

+e

−x

sinh

2

x=cosh

2

x−1

sinh

2

x=sec

2

α−1=tan

2

α

⇒sinhx=tanα

cosechx=

sinhx

1

=cotα

Answer 2

Answer:

The positive square root of 13 - √120 is​ 1.414.

Given:

13 - √120

Let it be d.

d = 13 - √120

Find:

The positive square root of d,i.e., √d.

Solution:

For finding the root of d, first we need to reduce d.

d = 13 - √120

Now, 120 can be written as (30×4).

∴ d = 13 - √(30×4)

d = 13 - (√30 ×√4)

But √4 = 2.

d = 13 - 2√30

Now, 30 can be written as(2×3×5)

d = 13 - 2√(2×3×5)

d = 13 - 2(√2 × √3 × √5)     ------------------- (i)

Now, √2 = 1.414

√3 = 1.732

√5 = 2.236

Putting the values in (i), we get

d = 13 - 2(1.414)(1.732)(2.236)

d = 13 - 10.95

d = 2.05 = 2 (approx)

Now, we have to find the positive square root of d.

√d = +√2

     = +1.414

     = 1.414

Hence, the positive square root of 13 - √120 is​ 1.414.

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