Question

$\sqrt{0.01 + \sqrt{0.0064} }$
is equal to??
please answer with explanation ​

Answer 1

$0.01 = \frac{1}{100}$

ᴀɴᴅ

$0.0064 = \frac{64}{10000}$

$\sqrt{0.01} = \sqrt{ \frac{1}{100} } = \frac{ \sqrt{1} }{ \sqrt{100} } = \frac{1}{10}$

ᴀɴᴅ

$\sqrt{0.0064} = \sqrt{ \frac{64}{10000} } = \frac{ \sqrt{1} }{ \sqrt{10000} } = \frac{8}{100}$

ᴛʜᴇ ᴏʀɪɢɪɴᴀʟ ᴇxᴘʀᴇssɪᴏɴ ɪs ᴇǫᴜᴀʟ ᴛᴏ

$\sqrt{0.01} + \sqrt{0.0064} = \frac{1}{10} + \frac{8}{100} = \frac{10 + 8}{100} = \frac{18}{100}$

$0.01 + \sqrt{0.0064}$ɪs ᴇǫᴜᴀʟ ᴛᴏ.$\frac{18}{100}$

Answer 2

Step-by-step explanation:

0.01=

100

1

ᴀɴᴅ

0.0064 = \frac{64}{10000}0.0064=

10000

64

\sqrt{0.01} = \sqrt{ \frac{1}{100} } = \frac{ \sqrt{1} }{ \sqrt{100} } = \frac{1}{10}

0.01

=

100

1

=

100

1

=

10

1

ᴀɴᴅ

\sqrt{0.0064} = \sqrt{ \frac{64}{10000} } = \frac{ \sqrt{1} }{ \sqrt{10000} } = \frac{8}{100}

0.0064

=

10000

64

=

10000

1

=

100

8

ᴛʜᴇ ᴏʀɪɢɪɴᴀʟ ᴇxᴘʀᴇssɪᴏɴ ɪs ᴇǫᴜᴀʟ ᴛᴏ

\sqrt{0.01} + \sqrt{0.0064} = \frac{1}{10} + \frac{8}{100} = \frac{10 + 8}{100} = \frac{18}{100}

0.01

+

0.0064

=

10

1

+

100

8

=

100

10+8

=

100

18

0.01 + \sqrt{0.0064}0.01+

0.0064

ɪs ᴇǫᴜᴀʟ ᴛᴏ.\frac{18}{100}

100

18