Question

5. The value of root -25 +3root-4 + 2root-9 is​

Answer 1

Step-by-step explanation:

√25+3√4+2√9

=5+3×2+2(3)

=5+6+6

=17

Answer 2

SOLUTION

TO DETERMINE

The value of

$\sf{ \sqrt{ - 25} + 3 \sqrt{ - 4} + 2 \sqrt{ - 9} }$

EVALUATION

Here the given expression is

$\sf{ \sqrt{ - 25} + 3 \sqrt{ - 4} + 2 \sqrt{ - 9} }$

We simplify it as below

$\sf{ \sqrt{ - 25} + 3 \sqrt{ - 4} + 2 \sqrt{ - 9} }$

$\sf{ = ( \sqrt{ - 1} \times \sqrt{ 25}) + (3 \times \sqrt{ -1 } \times \sqrt{4} ) + (2 \times \sqrt{ - 1} \times \sqrt{9} }$

$\sf{ = ( \sqrt{ - 1} \times \sqrt{ {5}^{2} }) + (3 \times \sqrt{ -1 } \times \sqrt{ {2}^{2} } ) + (2 \times \sqrt{ - 1} \times \sqrt{ {3}^{2} } }$

$\sf{ = 5i + 6i + 6i }$

$\sf{ = 17i }$

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