Question

simplify 13 5 root 32- 7 4 root 625 + 3 root 729

Answer 1

Step-by-step explanation:

I think your question is :-

13 ( 5√32 )  - 7 ( 4√625 ) + 3√729

∴ [ √625 = 25  ;  √729 = 27 ;   √32 = 4√2 ]

= 13 ( 5 × 20√2 )  -  7 ( 100 )  +  3 ( 27 )

= ( 13 × 100√2 )  -  700  +  81

=  1300√2  -  619

=  1838.477  -  619

=  1219.477

I Hope My Answer helped !!! Thank You

Answer 2

Correct Question

Simplify $13(5\sqrt{32} )-7(4\sqrt{625}) +3(\sqrt{729} )$.

Answer:

The value of $13(5\sqrt{32} )-7(4\sqrt{625}) +3(\sqrt{729} )$ is $-251.36$.

Step-by-step explanation:

Given:

$13(5\sqrt{32} )-7(4\sqrt{625}) +3(\sqrt{729} )$.

To Find:

The value of $13(5\sqrt{32} )-7(4\sqrt{625}) +3(\sqrt{729} )$.

Solution:

As given,$13(5\sqrt{32} )-7(4\sqrt{625}) +3(\sqrt{729} )$.

$13(5\sqrt{32} )-7(4\sqrt{625}) +3(\sqrt{729} )$

$=13(5\sqrt{2\times 4^{2} } )-7(4\sqrt{(25)^{2} } }) +3(\sqrt{(27)^{2}} )$

$=13(5 \times 4\sqrt{2 } )-7(4 \times 25 }) +3(27 )$

$=13(20\sqrt{2 } )-7(100 }) +3(27 )$

$=260\sqrt{2 } -700 +81$

$=260\sqrt{2 } -619$

$=260\times 1.414-619$

$=367.64-619\\=-251.36$

Thus,the value of $13(5\sqrt{32} )-7(4\sqrt{625}) +3(\sqrt{729} )$ is $-251.36$.

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