Question

if root 2=1.414,root 3=1.732,root 5=2.236,root 10 =3.162 find the value of the following correct to 3 places of decimals.


1.
$\sqrt{300 + \sqrt{90 - \sqrt{8} } }$
please answer fast

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Answer 1

HELLO DEAR,

GIVEN:-

• √2 = 1.414
• √3 = 1.732
• √5 = 2.236
• √10 = 3.162

now,

we have to find √{300 + √(90 - √8)}

=> √{300 + √(90 - 2√2)}

=> √{300 + √(90 - 2.828)}

=> √{300 + √(87.172)}

=> √{300 + 9.366}

=> √(309.366)

=> 17.588

I HOPE IT'S HELP YOU DEAR,

THANKS

Answer 2

Answer:

Value of Given Expression is 17.588

Step-by-step explanation:

Given:

Value of √2 = 1.414 , √3 = 1.732 , √5 = 2.236 and √10 = 3.162

Expression : $\sqrt{300+\sqrt{90-\sqrt{8}}}$

To find: Value of given expression.

Consider,

$\sqrt{300+\sqrt{90-\sqrt{8}}}$

$=\sqrt{300+\sqrt{90-2\sqrt{2}}}$

$=\sqrt{300+\sqrt{90-2(1.414)}}$

$=\sqrt{300+\sqrt{90-2.828}}$

$=\sqrt{300+9.33659466829}$

$=\sqrt{309.336594668}$

$=17.588$

Therefore, Value of Given Expression is 17.588