Question

Simplify :
1 ) √-16+3√-25+√36-√-625
2 ) 4√-4+5√-9-3√-16

Answer 1

$1) \sqrt{-16} + 3 \sqrt{-25} + \sqrt{36} - \sqrt{-625}$

$= \sqrt{16i^{2} } + 3 \sqrt{25i^{2}} + \sqrt{36} - \sqrt{625i^{2}}$

$\boxed { \pink { - 1 = i^{2} }}$

$= \sqrt{(4i)^{2} } + 3 \sqrt{(5i)^{2}} + \sqrt{6^{2}} - \sqrt{(25i)^{2}}$

$= 4i + 3 \times 5i + 6 - 25i \\= 4i + 15i -25i + 6 \\= (4+15-25)i + 6 \\= -6i + 6$

$2) 4\sqrt{-4} + 5 \sqrt{-9} - 3 \sqrt{-16} \\= 4\sqrt{4i^{2}} + 5 \sqrt{9i^{2}} - 3 \sqrt{16i^{2}} \\=4\sqrt{(2i)^{2}} + 5 \sqrt{(3i)^{2}} - 3 \sqrt{(4i)^{2}} \\= 4 \times 2i + 5 \times 3i - 3 \times 4i \\= 8i + 15i - 12i \\= ( 8 + 15 - 12 )i \\= (23-12)i\\= 11i$

•••♪

Answer 2

Answer:

Step-by-step explanation:

= √-16 + 3√-25 + √-36 -√-625

= 4+3×5+6-25. ... ( Cutting the squar)

= 4+15+6-25

= 19+6-25

= -6+6

= 0