Question

1 The value of √–25 +3√-4+2√-9 is
(a) -17i
(b) 17i
(c) 16i
(d) Both (a) and (b)​

Answer 1

Answer:

option B.

Step-by-step explanation:

$\sqrt{ - 25} + 3 \sqrt{ - 4} + 2 \sqrt{ - 9} \\ = 5i + 3 \times 2i + 2 \times 3i \\ = 5i + 6i + 6i \\ = 17i$

Answer 2

Given,

An expression: √–25 +3√-4+2√-9

To find,

The simplified value of the given expression.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

The value of √(-1) = i (iota)

This iota denotes a complex number.{Statement-1}

Now, on simplifying the given expression, we get;

√(–25) + 3√(-4) + 2√(-9)

= √{(–1)(25)} + 3√{(-1)(4)} + 2√{(-1)(9)}

= 5√(–1) + 3×2√(-1) + 2×3√(-1)

= 5i + 3×2i + 2×3i

{according to statement-1}

= 5i + 6i + 6i

= 17i

Hence, the simplified value of the given expression is equal to 17i. (Option-B)