Question

plzzz answer this 2 question I will mark you as brainlist plzz guys....​

Answer 1

Answer:

1. √2 + √7 = a/b              (where a and b are co-prime

√7 = a/b - √2

Squaring both sides

a²/b² - 2√2a/b + 2 = 7

a²/b² - 5 = 2√2a/b

(a² - 5b²) / 2ab  = √2

√2 is an irrational number .

This contradicts the fact that √2 is irrational . So , our assumption is wrong.

Hence, √2 + √7 is irrational.

2.Let a=404 and b=9

Expressing the number as a product of prime numbe

404=2×2×10

96=2×2×2×2×2×3

∴ LCM of 404 and 96 is 2×2×2×2×2×101×3=9696

∴ HCF of 404 and 96 is 2×2=4

Now HCF×LCM=4×9696=38784

Product of two given numbers 404×96=38784

Hence HCM×LCM= product of two given numbers.

Hope it helps....